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Finding the Fourth Proportional to 314.98, 472.65 and 170.71

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Solution

The fourth proportional to 314.98, 472.65 and 170.71 is: 256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.98 : 472.65 = 170.71 : x
  2. Step 2: Convert to fraction form
    314.98/472.65 = 170.71/x
  3. Step 3: Cross multiply
    314.98x = 472.65 × 170.71
  4. Step 4: Simplify right side
    314.98x = 80,686.08
  5. Step 5: Solve for x
    x = 80,686.08/314.98
  6. Step 6: Final answer
    x = 256.16

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