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Finding the Fourth Proportional to 314.98, 472.48 and 177.96

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Solution

The fourth proportional to 314.98, 472.48 and 177.96 is: 266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.98 : 472.48 = 177.96 : x
  2. Step 2: Convert to fraction form
    314.98/472.48 = 177.96/x
  3. Step 3: Cross multiply
    314.98x = 472.48 × 177.96
  4. Step 4: Simplify right side
    314.98x = 84,082.54
  5. Step 5: Solve for x
    x = 84,082.54/314.98
  6. Step 6: Final answer
    x = 266.95

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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.