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Finding the Fourth Proportional to 233.59, 322.40 and 178.23

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Solution

The fourth proportional to 233.59, 322.40 and 178.23 is: 245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.59 : 322.40 = 178.23 : x
  2. Step 2: Convert to fraction form
    233.59/322.40 = 178.23/x
  3. Step 3: Cross multiply
    233.59x = 322.40 × 178.23
  4. Step 4: Simplify right side
    233.59x = 57,461.80
  5. Step 5: Solve for x
    x = 57,461.80/233.59
  6. Step 6: Final answer
    x = 245.99

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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.