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Finding the Fourth Proportional to 207.01, 285.68 and 113.76

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Solution

The fourth proportional to 207.01, 285.68 and 113.76 is: 156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.01 : 285.68 = 113.76 : x
  2. Step 2: Convert to fraction form
    207.01/285.68 = 113.76/x
  3. Step 3: Cross multiply
    207.01x = 285.68 × 113.76
  4. Step 4: Simplify right side
    207.01x = 32,498.96
  5. Step 5: Solve for x
    x = 32,498.96/207.01
  6. Step 6: Final answer
    x = 156.99

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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.