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Finding the Fourth Proportional to 207.16, 285.78 and 133.42

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Solution

The fourth proportional to 207.16, 285.78 and 133.42 is: 184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.16 : 285.78 = 133.42 : x
  2. Step 2: Convert to fraction form
    207.16/285.78 = 133.42/x
  3. Step 3: Cross multiply
    207.16x = 285.78 × 133.42
  4. Step 4: Simplify right side
    207.16x = 38,128.77
  5. Step 5: Solve for x
    x = 38,128.77/207.16
  6. Step 6: Final answer
    x = 184.05

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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.