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Finding the Fourth Proportional to 215.39, 297.20 and 132.51

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Solution

The fourth proportional to 215.39, 297.20 and 132.51 is: 182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.39 : 297.20 = 132.51 : x
  2. Step 2: Convert to fraction form
    215.39/297.20 = 132.51/x
  3. Step 3: Cross multiply
    215.39x = 297.20 × 132.51
  4. Step 4: Simplify right side
    215.39x = 39,381.31
  5. Step 5: Solve for x
    x = 39,381.31/215.39
  6. Step 6: Final answer
    x = 182.84

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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.