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Finding the Fourth Proportional to 147.02, 219.04 and 140.13

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Solution

The fourth proportional to 147.02, 219.04 and 140.13 is: 208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 219.04 = 140.13 : x
  2. Step 2: Convert to fraction form
    147.02/219.04 = 140.13/x
  3. Step 3: Cross multiply
    147.02x = 219.04 × 140.13
  4. Step 4: Simplify right side
    147.02x = 30,693.72
  5. Step 5: Solve for x
    x = 30,693.72/147.02
  6. Step 6: Final answer
    x = 208.78

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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.