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Finding the Fourth Proportional to 147.60, 220.50 and 146.88

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Solution

The fourth proportional to 147.60, 220.50 and 146.88 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.60 : 220.50 = 146.88 : x
  2. Step 2: Convert to fraction form
    147.60/220.50 = 146.88/x
  3. Step 3: Cross multiply
    147.60x = 220.50 × 146.88
  4. Step 4: Simplify right side
    147.60x = 32,387.04
  5. Step 5: Solve for x
    x = 32,387.04/147.60
  6. Step 6: Final answer
    x = 219.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.