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Finding the Fourth Proportional to 296.61, 409.25 and 178.53

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Solution

The fourth proportional to 296.61, 409.25 and 178.53 is: 246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.61 : 409.25 = 178.53 : x
  2. Step 2: Convert to fraction form
    296.61/409.25 = 178.53/x
  3. Step 3: Cross multiply
    296.61x = 409.25 × 178.53
  4. Step 4: Simplify right side
    296.61x = 73,062.51
  5. Step 5: Solve for x
    x = 73,062.51/296.61
  6. Step 6: Final answer
    x = 246.33

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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.