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Finding the Fourth Proportional to 536.96, 805.28 and 171.68

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Solution

The fourth proportional to 536.96, 805.28 and 171.68 is: 257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.96 : 805.28 = 171.68 : x
  2. Step 2: Convert to fraction form
    536.96/805.28 = 171.68/x
  3. Step 3: Cross multiply
    536.96x = 805.28 × 171.68
  4. Step 4: Simplify right side
    536.96x = 138,250.47
  5. Step 5: Solve for x
    x = 138,250.47/536.96
  6. Step 6: Final answer
    x = 257.47

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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.