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Finding the Fourth Proportional to 349.35, 482.20 and 202.08

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Solution

The fourth proportional to 349.35, 482.20 and 202.08 is: 278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.35 : 482.20 = 202.08 : x
  2. Step 2: Convert to fraction form
    349.35/482.20 = 202.08/x
  3. Step 3: Cross multiply
    349.35x = 482.20 × 202.08
  4. Step 4: Simplify right side
    349.35x = 97,441.97
  5. Step 5: Solve for x
    x = 97,441.97/349.35
  6. Step 6: Final answer
    x = 278.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.