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Finding the Fourth Proportional to 349.82, 524.97 and 187.62

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Solution

The fourth proportional to 349.82, 524.97 and 187.62 is: 281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.82 : 524.97 = 187.62 : x
  2. Step 2: Convert to fraction form
    349.82/524.97 = 187.62/x
  3. Step 3: Cross multiply
    349.82x = 524.97 × 187.62
  4. Step 4: Simplify right side
    349.82x = 98,492.90
  5. Step 5: Solve for x
    x = 98,492.90/349.82
  6. Step 6: Final answer
    x = 281.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.