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Finding the Fourth Proportional to 318.63, 477.65 and 123.32

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Solution

The fourth proportional to 318.63, 477.65 and 123.32 is: 184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.63 : 477.65 = 123.32 : x
  2. Step 2: Convert to fraction form
    318.63/477.65 = 123.32/x
  3. Step 3: Cross multiply
    318.63x = 477.65 × 123.32
  4. Step 4: Simplify right side
    318.63x = 58,904.61
  5. Step 5: Solve for x
    x = 58,904.61/318.63
  6. Step 6: Final answer
    x = 184.87

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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.