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Finding the Fourth Proportional to 215.52, 297.36 and 128.16

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Solution

The fourth proportional to 215.52, 297.36 and 128.16 is: 176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 297.36 = 128.16 : x
  2. Step 2: Convert to fraction form
    215.52/297.36 = 128.16/x
  3. Step 3: Cross multiply
    215.52x = 297.36 × 128.16
  4. Step 4: Simplify right side
    215.52x = 38,109.66
  5. Step 5: Solve for x
    x = 38,109.66/215.52
  6. Step 6: Final answer
    x = 176.83

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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.