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Finding the Fourth Proportional to 296.96, 409.69 and 186.25

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Solution

The fourth proportional to 296.96, 409.69 and 186.25 is: 256.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.96 : 409.69 = 186.25 : x
  2. Step 2: Convert to fraction form
    296.96/409.69 = 186.25/x
  3. Step 3: Cross multiply
    296.96x = 409.69 × 186.25
  4. Step 4: Simplify right side
    296.96x = 76,302.71
  5. Step 5: Solve for x
    x = 76,302.71/296.96
  6. Step 6: Final answer
    x = 256.95

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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.