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Finding the Fourth Proportional to 349.66, 524.19 and 144.10

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Solution

The fourth proportional to 349.66, 524.19 and 144.10 is: 216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.66 : 524.19 = 144.10 : x
  2. Step 2: Convert to fraction form
    349.66/524.19 = 144.10/x
  3. Step 3: Cross multiply
    349.66x = 524.19 × 144.10
  4. Step 4: Simplify right side
    349.66x = 75,535.06
  5. Step 5: Solve for x
    x = 75,535.06/349.66
  6. Step 6: Final answer
    x = 216.02

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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.