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Finding the Fourth Proportional to 147.60, 221.71 and 142.74

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Solution

The fourth proportional to 147.60, 221.71 and 142.74 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.60 : 221.71 = 142.74 : x
  2. Step 2: Convert to fraction form
    147.60/221.71 = 142.74/x
  3. Step 3: Cross multiply
    147.60x = 221.71 × 142.74
  4. Step 4: Simplify right side
    147.60x = 31,646.57
  5. Step 5: Solve for x
    x = 31,646.57/147.60
  6. Step 6: Final answer
    x = 214.41

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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.