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Finding the Fourth Proportional to 223.58, 335.39 and 101.87

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Solution

The fourth proportional to 223.58, 335.39 and 101.87 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.58 : 335.39 = 101.87 : x
  2. Step 2: Convert to fraction form
    223.58/335.39 = 101.87/x
  3. Step 3: Cross multiply
    223.58x = 335.39 × 101.87
  4. Step 4: Simplify right side
    223.58x = 34,167.71
  5. Step 5: Solve for x
    x = 34,167.71/223.58
  6. Step 6: Final answer
    x = 152.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.