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Finding the Fourth Proportional to 233.15, 322.03 and 170.89

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Solution

The fourth proportional to 233.15, 322.03 and 170.89 is: 236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.15 : 322.03 = 170.89 : x
  2. Step 2: Convert to fraction form
    233.15/322.03 = 170.89/x
  3. Step 3: Cross multiply
    233.15x = 322.03 × 170.89
  4. Step 4: Simplify right side
    233.15x = 55,031.71
  5. Step 5: Solve for x
    x = 55,031.71/233.15
  6. Step 6: Final answer
    x = 236.04

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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.