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Finding the Fourth Proportional to 233.61, 322.97 and 175.29

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Solution

The fourth proportional to 233.61, 322.97 and 175.29 is: 242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.61 : 322.97 = 175.29 : x
  2. Step 2: Convert to fraction form
    233.61/322.97 = 175.29/x
  3. Step 3: Cross multiply
    233.61x = 322.97 × 175.29
  4. Step 4: Simplify right side
    233.61x = 56,612.53
  5. Step 5: Solve for x
    x = 56,612.53/233.61
  6. Step 6: Final answer
    x = 242.34

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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.