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Finding the Fourth Proportional to 233.76, 322.54 and 135.52

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Solution

The fourth proportional to 233.76, 322.54 and 135.52 is: 186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 322.54 = 135.52 : x
  2. Step 2: Convert to fraction form
    233.76/322.54 = 135.52/x
  3. Step 3: Cross multiply
    233.76x = 322.54 × 135.52
  4. Step 4: Simplify right side
    233.76x = 43,710.62
  5. Step 5: Solve for x
    x = 43,710.62/233.76
  6. Step 6: Final answer
    x = 186.99

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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.