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Finding the Fourth Proportional to 296.51, 409.19 and 180

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Solution

The fourth proportional to 296.51, 409.19 and 180 is: 248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.51 : 409.19 = 180 : x
  2. Step 2: Convert to fraction form
    296.51/409.19 = 180/x
  3. Step 3: Cross multiply
    296.51x = 409.19 × 180
  4. Step 4: Simplify right side
    296.51x = 73,653.30
  5. Step 5: Solve for x
    x = 73,653.30/296.51
  6. Step 6: Final answer
    x = 248.40

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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.