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Finding the Fourth Proportional to 233.64, 322.16 and 174.66

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Solution

The fourth proportional to 233.64, 322.16 and 174.66 is: 240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 322.16 = 174.66 : x
  2. Step 2: Convert to fraction form
    233.64/322.16 = 174.66/x
  3. Step 3: Cross multiply
    233.64x = 322.16 × 174.66
  4. Step 4: Simplify right side
    233.64x = 56,267.59
  5. Step 5: Solve for x
    x = 56,267.59/233.64
  6. Step 6: Final answer
    x = 240.83

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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.