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Finding the Fourth Proportional to 233.46, 322.16 and 128.54

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Solution

The fourth proportional to 233.46, 322.16 and 128.54 is: 177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.46 : 322.16 = 128.54 : x
  2. Step 2: Convert to fraction form
    233.46/322.16 = 128.54/x
  3. Step 3: Cross multiply
    233.46x = 322.16 × 128.54
  4. Step 4: Simplify right side
    233.46x = 41,410.45
  5. Step 5: Solve for x
    x = 41,410.45/233.46
  6. Step 6: Final answer
    x = 177.38

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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.