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Finding the Fourth Proportional to 349.40, 482.14 and 202.03

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Solution

The fourth proportional to 349.40, 482.14 and 202.03 is: 278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.40 : 482.14 = 202.03 : x
  2. Step 2: Convert to fraction form
    349.40/482.14 = 202.03/x
  3. Step 3: Cross multiply
    349.40x = 482.14 × 202.03
  4. Step 4: Simplify right side
    349.40x = 97,406.74
  5. Step 5: Solve for x
    x = 97,406.74/349.40
  6. Step 6: Final answer
    x = 278.78

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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.