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Finding the Fourth Proportional to 296.64, 409.32 and 180.24

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Solution

The fourth proportional to 296.64, 409.32 and 180.24 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 409.32 = 180.24 : x
  2. Step 2: Convert to fraction form
    296.64/409.32 = 180.24/x
  3. Step 3: Cross multiply
    296.64x = 409.32 × 180.24
  4. Step 4: Simplify right side
    296.64x = 73,775.84
  5. Step 5: Solve for x
    x = 73,775.84/296.64
  6. Step 6: Final answer
    x = 248.70

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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.