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Finding the Fourth Proportional to 245.35, 337.66 and 213.76

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Solution

The fourth proportional to 245.35, 337.66 and 213.76 is: 294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.35 : 337.66 = 213.76 : x
  2. Step 2: Convert to fraction form
    245.35/337.66 = 213.76/x
  3. Step 3: Cross multiply
    245.35x = 337.66 × 213.76
  4. Step 4: Simplify right side
    245.35x = 72,178.20
  5. Step 5: Solve for x
    x = 72,178.20/245.35
  6. Step 6: Final answer
    x = 294.18

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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.