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Finding the Fourth Proportional to 153.77, 230.29 and 140.10

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Solution

The fourth proportional to 153.77, 230.29 and 140.10 is: 209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.77 : 230.29 = 140.10 : x
  2. Step 2: Convert to fraction form
    153.77/230.29 = 140.10/x
  3. Step 3: Cross multiply
    153.77x = 230.29 × 140.10
  4. Step 4: Simplify right side
    153.77x = 32,262.48
  5. Step 5: Solve for x
    x = 32,262.48/153.77
  6. Step 6: Final answer
    x = 209.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.