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Finding the Fourth Proportional to 349.53, 482.37 and 202.17

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Solution

The fourth proportional to 349.53, 482.37 and 202.17 is: 279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.53 : 482.37 = 202.17 : x
  2. Step 2: Convert to fraction form
    349.53/482.37 = 202.17/x
  3. Step 3: Cross multiply
    349.53x = 482.37 × 202.17
  4. Step 4: Simplify right side
    349.53x = 97,520.74
  5. Step 5: Solve for x
    x = 97,520.74/349.53
  6. Step 6: Final answer
    x = 279.01

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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.