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Finding the Fourth Proportional to 342.88, 514.52 and 147.87

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Solution

The fourth proportional to 342.88, 514.52 and 147.87 is: 221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.88 : 514.52 = 147.87 : x
  2. Step 2: Convert to fraction form
    342.88/514.52 = 147.87/x
  3. Step 3: Cross multiply
    342.88x = 514.52 × 147.87
  4. Step 4: Simplify right side
    342.88x = 76,081.33
  5. Step 5: Solve for x
    x = 76,081.33/342.88
  6. Step 6: Final answer
    x = 221.89

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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.