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Finding the Fourth Proportional to 215.42, 322.97 and 138.47

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Solution

The fourth proportional to 215.42, 322.97 and 138.47 is: 207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.42 : 322.97 = 138.47 : x
  2. Step 2: Convert to fraction form
    215.42/322.97 = 138.47/x
  3. Step 3: Cross multiply
    215.42x = 322.97 × 138.47
  4. Step 4: Simplify right side
    215.42x = 44,719.35
  5. Step 5: Solve for x
    x = 44,719.35/215.42
  6. Step 6: Final answer
    x = 207.60

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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.