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Finding the Fourth Proportional to 337.18, 465.54 and 212.98

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Solution

The fourth proportional to 337.18, 465.54 and 212.98 is: 294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.18 : 465.54 = 212.98 : x
  2. Step 2: Convert to fraction form
    337.18/465.54 = 212.98/x
  3. Step 3: Cross multiply
    337.18x = 465.54 × 212.98
  4. Step 4: Simplify right side
    337.18x = 99,150.71
  5. Step 5: Solve for x
    x = 99,150.71/337.18
  6. Step 6: Final answer
    x = 294.06

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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.