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Finding the Fourth Proportional to 349.67, 524.14 and 118.35

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Solution

The fourth proportional to 349.67, 524.14 and 118.35 is: 177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.67 : 524.14 = 118.35 : x
  2. Step 2: Convert to fraction form
    349.67/524.14 = 118.35/x
  3. Step 3: Cross multiply
    349.67x = 524.14 × 118.35
  4. Step 4: Simplify right side
    349.67x = 62,031.67
  5. Step 5: Solve for x
    x = 62,031.67/349.67
  6. Step 6: Final answer
    x = 177.40

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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.