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Finding the Fourth Proportional to 207.02, 285.68 and 113.77

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Solution

The fourth proportional to 207.02, 285.68 and 113.77 is: 157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.02 : 285.68 = 113.77 : x
  2. Step 2: Convert to fraction form
    207.02/285.68 = 113.77/x
  3. Step 3: Cross multiply
    207.02x = 285.68 × 113.77
  4. Step 4: Simplify right side
    207.02x = 32,502.62
  5. Step 5: Solve for x
    x = 32,502.62/207.02
  6. Step 6: Final answer
    x = 157.00

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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.