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Finding the Fourth Proportional to 296.60, 409.24 and 180.16

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Solution

The fourth proportional to 296.60, 409.24 and 180.16 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.60 : 409.24 = 180.16 : x
  2. Step 2: Convert to fraction form
    296.60/409.24 = 180.16/x
  3. Step 3: Cross multiply
    296.60x = 409.24 × 180.16
  4. Step 4: Simplify right side
    296.60x = 73,728.68
  5. Step 5: Solve for x
    x = 73,728.68/296.60
  6. Step 6: Final answer
    x = 248.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.