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Finding the Fourth Proportional to 536.64, 805.00 and 171.46

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Solution

The fourth proportional to 536.64, 805.00 and 171.46 is: 257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.64 : 805.00 = 171.46 : x
  2. Step 2: Convert to fraction form
    536.64/805.00 = 171.46/x
  3. Step 3: Cross multiply
    536.64x = 805.00 × 171.46
  4. Step 4: Simplify right side
    536.64x = 138,022.86
  5. Step 5: Solve for x
    x = 138,022.86/536.64
  6. Step 6: Final answer
    x = 257.20

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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.