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Finding the Fourth Proportional to 215.53, 297.42 and 117.28

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Solution

The fourth proportional to 215.53, 297.42 and 117.28 is: 161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.53 : 297.42 = 117.28 : x
  2. Step 2: Convert to fraction form
    215.53/297.42 = 117.28/x
  3. Step 3: Cross multiply
    215.53x = 297.42 × 117.28
  4. Step 4: Simplify right side
    215.53x = 34,881.71
  5. Step 5: Solve for x
    x = 34,881.71/215.53
  6. Step 6: Final answer
    x = 161.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.