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Finding the Fourth Proportional to 331.57, 457.35 and 207.10

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Solution

The fourth proportional to 331.57, 457.35 and 207.10 is: 285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.57 : 457.35 = 207.10 : x
  2. Step 2: Convert to fraction form
    331.57/457.35 = 207.10/x
  3. Step 3: Cross multiply
    331.57x = 457.35 × 207.10
  4. Step 4: Simplify right side
    331.57x = 94,717.19
  5. Step 5: Solve for x
    x = 94,717.19/331.57
  6. Step 6: Final answer
    x = 285.66

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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.