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Finding the Fourth Proportional to 215.86, 297.74 and 128.48

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Solution

The fourth proportional to 215.86, 297.74 and 128.48 is: 177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.86 : 297.74 = 128.48 : x
  2. Step 2: Convert to fraction form
    215.86/297.74 = 128.48/x
  3. Step 3: Cross multiply
    215.86x = 297.74 × 128.48
  4. Step 4: Simplify right side
    215.86x = 38,253.64
  5. Step 5: Solve for x
    x = 38,253.64/215.86
  6. Step 6: Final answer
    x = 177.22

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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.