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Finding the Fourth Proportional to 349.79, 524.22 and 144.08

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Solution

The fourth proportional to 349.79, 524.22 and 144.08 is: 215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.79 : 524.22 = 144.08 : x
  2. Step 2: Convert to fraction form
    349.79/524.22 = 144.08/x
  3. Step 3: Cross multiply
    349.79x = 524.22 × 144.08
  4. Step 4: Simplify right side
    349.79x = 75,529.23
  5. Step 5: Solve for x
    x = 75,529.23/349.79
  6. Step 6: Final answer
    x = 215.93

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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.