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Finding the Fourth Proportional to 207.38, 285.89 and 148.35

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Solution

The fourth proportional to 207.38, 285.89 and 148.35 is: 204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.38 : 285.89 = 148.35 : x
  2. Step 2: Convert to fraction form
    207.38/285.89 = 148.35/x
  3. Step 3: Cross multiply
    207.38x = 285.89 × 148.35
  4. Step 4: Simplify right side
    207.38x = 42,411.04
  5. Step 5: Solve for x
    x = 42,411.04/207.38
  6. Step 6: Final answer
    x = 204.51

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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.