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Finding the Fourth Proportional to 296.48, 409.28 and 186.12

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Solution

The fourth proportional to 296.48, 409.28 and 186.12 is: 256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.48 : 409.28 = 186.12 : x
  2. Step 2: Convert to fraction form
    296.48/409.28 = 186.12/x
  3. Step 3: Cross multiply
    296.48x = 409.28 × 186.12
  4. Step 4: Simplify right side
    296.48x = 76,174.26
  5. Step 5: Solve for x
    x = 76,174.26/296.48
  6. Step 6: Final answer
    x = 256.93

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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.