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Finding the Fourth Proportional to 337.48, 465.54 and 213.10

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Solution

The fourth proportional to 337.48, 465.54 and 213.10 is: 293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.48 : 465.54 = 213.10 : x
  2. Step 2: Convert to fraction form
    337.48/465.54 = 213.10/x
  3. Step 3: Cross multiply
    337.48x = 465.54 × 213.10
  4. Step 4: Simplify right side
    337.48x = 99,206.57
  5. Step 5: Solve for x
    x = 99,206.57/337.48
  6. Step 6: Final answer
    x = 293.96

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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.