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Finding the Fourth Proportional to 144.64, 215.51 and 140.77

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Solution

The fourth proportional to 144.64, 215.51 and 140.77 is: 209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.64 : 215.51 = 140.77 : x
  2. Step 2: Convert to fraction form
    144.64/215.51 = 140.77/x
  3. Step 3: Cross multiply
    144.64x = 215.51 × 140.77
  4. Step 4: Simplify right side
    144.64x = 30,337.34
  5. Step 5: Solve for x
    x = 30,337.34/144.64
  6. Step 6: Final answer
    x = 209.74

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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.