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Finding the Fourth Proportional to 207.04, 285.70 and 113.78

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Solution

The fourth proportional to 207.04, 285.70 and 113.78 is: 157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.04 : 285.70 = 113.78 : x
  2. Step 2: Convert to fraction form
    207.04/285.70 = 113.78/x
  3. Step 3: Cross multiply
    207.04x = 285.70 × 113.78
  4. Step 4: Simplify right side
    207.04x = 32,506.95
  5. Step 5: Solve for x
    x = 32,506.95/207.04
  6. Step 6: Final answer
    x = 157.01

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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.