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Finding the Fourth Proportional to 233.74, 322.54 and 184.74

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Solution

The fourth proportional to 233.74, 322.54 and 184.74 is: 254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 322.54 = 184.74 : x
  2. Step 2: Convert to fraction form
    233.74/322.54 = 184.74/x
  3. Step 3: Cross multiply
    233.74x = 322.54 × 184.74
  4. Step 4: Simplify right side
    233.74x = 59,586.04
  5. Step 5: Solve for x
    x = 59,586.04/233.74
  6. Step 6: Final answer
    x = 254.92

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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.