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Finding the Fourth Proportional to 314.79, 472.20 and 122.46

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Solution

The fourth proportional to 314.79, 472.20 and 122.46 is: 183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.79 : 472.20 = 122.46 : x
  2. Step 2: Convert to fraction form
    314.79/472.20 = 122.46/x
  3. Step 3: Cross multiply
    314.79x = 472.20 × 122.46
  4. Step 4: Simplify right side
    314.79x = 57,825.61
  5. Step 5: Solve for x
    x = 57,825.61/314.79
  6. Step 6: Final answer
    x = 183.70

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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.