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Finding the Fourth Proportional to 233.78, 322.61 and 128.87

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Solution

The fourth proportional to 233.78, 322.61 and 128.87 is: 177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.78 : 322.61 = 128.87 : x
  2. Step 2: Convert to fraction form
    233.78/322.61 = 128.87/x
  3. Step 3: Cross multiply
    233.78x = 322.61 × 128.87
  4. Step 4: Simplify right side
    233.78x = 41,574.75
  5. Step 5: Solve for x
    x = 41,574.75/233.78
  6. Step 6: Final answer
    x = 177.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.