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Finding the Fourth Proportional to 143.78, 215.24 and 128.93

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Solution

The fourth proportional to 143.78, 215.24 and 128.93 is: 193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.78 : 215.24 = 128.93 : x
  2. Step 2: Convert to fraction form
    143.78/215.24 = 128.93/x
  3. Step 3: Cross multiply
    143.78x = 215.24 × 128.93
  4. Step 4: Simplify right side
    143.78x = 27,751.11
  5. Step 5: Solve for x
    x = 27,751.11/143.78
  6. Step 6: Final answer
    x = 193.02

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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.