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Finding the Fourth Proportional to 147.80, 220.15 and 147.32

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Solution

The fourth proportional to 147.80, 220.15 and 147.32 is: 219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.80 : 220.15 = 147.32 : x
  2. Step 2: Convert to fraction form
    147.80/220.15 = 147.32/x
  3. Step 3: Cross multiply
    147.80x = 220.15 × 147.32
  4. Step 4: Simplify right side
    147.80x = 32,432.50
  5. Step 5: Solve for x
    x = 32,432.50/147.80
  6. Step 6: Final answer
    x = 219.44

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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.