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Finding the Fourth Proportional to 215.01, 322.92 and 142.92

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Solution

The fourth proportional to 215.01, 322.92 and 142.92 is: 214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.01 : 322.92 = 142.92 : x
  2. Step 2: Convert to fraction form
    215.01/322.92 = 142.92/x
  3. Step 3: Cross multiply
    215.01x = 322.92 × 142.92
  4. Step 4: Simplify right side
    215.01x = 46,151.73
  5. Step 5: Solve for x
    x = 46,151.73/215.01
  6. Step 6: Final answer
    x = 214.65

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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.