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Finding the Fourth Proportional to 147.16, 219.43 and 140.77

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Solution

The fourth proportional to 147.16, 219.43 and 140.77 is: 209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.16 : 219.43 = 140.77 : x
  2. Step 2: Convert to fraction form
    147.16/219.43 = 140.77/x
  3. Step 3: Cross multiply
    147.16x = 219.43 × 140.77
  4. Step 4: Simplify right side
    147.16x = 30,889.16
  5. Step 5: Solve for x
    x = 30,889.16/147.16
  6. Step 6: Final answer
    x = 209.90

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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.