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Finding the Fourth Proportional to 233.68, 322.50 and 135.47

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Solution

The fourth proportional to 233.68, 322.50 and 135.47 is: 186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.68 : 322.50 = 135.47 : x
  2. Step 2: Convert to fraction form
    233.68/322.50 = 135.47/x
  3. Step 3: Cross multiply
    233.68x = 322.50 × 135.47
  4. Step 4: Simplify right side
    233.68x = 43,689.08
  5. Step 5: Solve for x
    x = 43,689.08/233.68
  6. Step 6: Final answer
    x = 186.96

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