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Finding the Fourth Proportional to 232.61, 320.93 and 170.53

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Solution

The fourth proportional to 232.61, 320.93 and 170.53 is: 235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.61 : 320.93 = 170.53 : x
  2. Step 2: Convert to fraction form
    232.61/320.93 = 170.53/x
  3. Step 3: Cross multiply
    232.61x = 320.93 × 170.53
  4. Step 4: Simplify right side
    232.61x = 54,728.19
  5. Step 5: Solve for x
    x = 54,728.19/232.61
  6. Step 6: Final answer
    x = 235.28

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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.