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Finding the Fourth Proportional to 215.69, 297.57 and 132.77

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Solution

The fourth proportional to 215.69, 297.57 and 132.77 is: 183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.69 : 297.57 = 132.77 : x
  2. Step 2: Convert to fraction form
    215.69/297.57 = 132.77/x
  3. Step 3: Cross multiply
    215.69x = 297.57 × 132.77
  4. Step 4: Simplify right side
    215.69x = 39,508.37
  5. Step 5: Solve for x
    x = 39,508.37/215.69
  6. Step 6: Final answer
    x = 183.17

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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.