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Finding the Fourth Proportional to 314.06, 471.15 and 177.21

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Solution

The fourth proportional to 314.06, 471.15 and 177.21 is: 265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.06 : 471.15 = 177.21 : x
  2. Step 2: Convert to fraction form
    314.06/471.15 = 177.21/x
  3. Step 3: Cross multiply
    314.06x = 471.15 × 177.21
  4. Step 4: Simplify right side
    314.06x = 83,492.49
  5. Step 5: Solve for x
    x = 83,492.49/314.06
  6. Step 6: Final answer
    x = 265.85

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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.