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Finding the Fourth Proportional to 349.90, 524.69 and 176.56

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Solution

The fourth proportional to 349.90, 524.69 and 176.56 is: 264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.90 : 524.69 = 176.56 : x
  2. Step 2: Convert to fraction form
    349.90/524.69 = 176.56/x
  3. Step 3: Cross multiply
    349.90x = 524.69 × 176.56
  4. Step 4: Simplify right side
    349.90x = 92,635.76
  5. Step 5: Solve for x
    x = 92,635.76/349.90
  6. Step 6: Final answer
    x = 264.75

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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.