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Finding the Fourth Proportional to 334.90, 462.10 and 202.08

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Solution

The fourth proportional to 334.90, 462.10 and 202.08 is: 278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.90 : 462.10 = 202.08 : x
  2. Step 2: Convert to fraction form
    334.90/462.10 = 202.08/x
  3. Step 3: Cross multiply
    334.90x = 462.10 × 202.08
  4. Step 4: Simplify right side
    334.90x = 93,381.17
  5. Step 5: Solve for x
    x = 93,381.17/334.90
  6. Step 6: Final answer
    x = 278.83

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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.