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Finding the Fourth Proportional to 223.67, 335.47 and 101.91

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Solution

The fourth proportional to 223.67, 335.47 and 101.91 is: 152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.67 : 335.47 = 101.91 : x
  2. Step 2: Convert to fraction form
    223.67/335.47 = 101.91/x
  3. Step 3: Cross multiply
    223.67x = 335.47 × 101.91
  4. Step 4: Simplify right side
    223.67x = 34,187.10
  5. Step 5: Solve for x
    x = 34,187.10/223.67
  6. Step 6: Final answer
    x = 152.84

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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.