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Finding the Fourth Proportional to 349.51, 523.72 and 143.91

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Solution

The fourth proportional to 349.51, 523.72 and 143.91 is: 215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.51 : 523.72 = 143.91 : x
  2. Step 2: Convert to fraction form
    349.51/523.72 = 143.91/x
  3. Step 3: Cross multiply
    349.51x = 523.72 × 143.91
  4. Step 4: Simplify right side
    349.51x = 75,368.55
  5. Step 5: Solve for x
    x = 75,368.55/349.51
  6. Step 6: Final answer
    x = 215.64

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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.