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Finding the Fourth Proportional to 334.80, 462.14 and 202.10

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Solution

The fourth proportional to 334.80, 462.14 and 202.10 is: 278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.80 : 462.14 = 202.10 : x
  2. Step 2: Convert to fraction form
    334.80/462.14 = 202.10/x
  3. Step 3: Cross multiply
    334.80x = 462.14 × 202.10
  4. Step 4: Simplify right side
    334.80x = 93,395.93
  5. Step 5: Solve for x
    x = 93,395.93/334.80
  6. Step 6: Final answer
    x = 278.96

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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.