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Finding the Fourth Proportional to 233.79, 322.64 and 135.56

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Solution

The fourth proportional to 233.79, 322.64 and 135.56 is: 187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.79 : 322.64 = 135.56 : x
  2. Step 2: Convert to fraction form
    233.79/322.64 = 135.56/x
  3. Step 3: Cross multiply
    233.79x = 322.64 × 135.56
  4. Step 4: Simplify right side
    233.79x = 43,734.79
  5. Step 5: Solve for x
    x = 43,734.79/233.79
  6. Step 6: Final answer
    x = 187.07

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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.