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Finding the Fourth Proportional to 349.56, 482.35 and 202.18

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Solution

The fourth proportional to 349.56, 482.35 and 202.18 is: 278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.56 : 482.35 = 202.18 : x
  2. Step 2: Convert to fraction form
    349.56/482.35 = 202.18/x
  3. Step 3: Cross multiply
    349.56x = 482.35 × 202.18
  4. Step 4: Simplify right side
    349.56x = 97,521.52
  5. Step 5: Solve for x
    x = 97,521.52/349.56
  6. Step 6: Final answer
    x = 278.98

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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.