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Finding the Fourth Proportional to 215.67, 297.63 and 132.86

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Solution

The fourth proportional to 215.67, 297.63 and 132.86 is: 183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.67 : 297.63 = 132.86 : x
  2. Step 2: Convert to fraction form
    215.67/297.63 = 132.86/x
  3. Step 3: Cross multiply
    215.67x = 297.63 × 132.86
  4. Step 4: Simplify right side
    215.67x = 39,543.12
  5. Step 5: Solve for x
    x = 39,543.12/215.67
  6. Step 6: Final answer
    x = 183.35

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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.