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Finding the Fourth Proportional to 536.96, 805.53 and 171.63

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Solution

The fourth proportional to 536.96, 805.53 and 171.63 is: 257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.96 : 805.53 = 171.63 : x
  2. Step 2: Convert to fraction form
    536.96/805.53 = 171.63/x
  3. Step 3: Cross multiply
    536.96x = 805.53 × 171.63
  4. Step 4: Simplify right side
    536.96x = 138,253.11
  5. Step 5: Solve for x
    x = 138,253.11/536.96
  6. Step 6: Final answer
    x = 257.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.