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Finding the Fourth Proportional to 387.74, 581.63 and 124.22

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Solution

The fourth proportional to 387.74, 581.63 and 124.22 is: 186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.74 : 581.63 = 124.22 : x
  2. Step 2: Convert to fraction form
    387.74/581.63 = 124.22/x
  3. Step 3: Cross multiply
    387.74x = 581.63 × 124.22
  4. Step 4: Simplify right side
    387.74x = 72,247.17
  5. Step 5: Solve for x
    x = 72,247.17/387.74
  6. Step 6: Final answer
    x = 186.33

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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.