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Finding the Fourth Proportional to 144.32, 215.04 and 142.40

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Solution

The fourth proportional to 144.32, 215.04 and 142.40 is: 212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.32 : 215.04 = 142.40 : x
  2. Step 2: Convert to fraction form
    144.32/215.04 = 142.40/x
  3. Step 3: Cross multiply
    144.32x = 215.04 × 142.40
  4. Step 4: Simplify right side
    144.32x = 30,621.70
  5. Step 5: Solve for x
    x = 30,621.70/144.32
  6. Step 6: Final answer
    x = 212.18

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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.