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Finding the Fourth Proportional to 296.53, 409.05 and 186.03

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Solution

The fourth proportional to 296.53, 409.05 and 186.03 is: 256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.53 : 409.05 = 186.03 : x
  2. Step 2: Convert to fraction form
    296.53/409.05 = 186.03/x
  3. Step 3: Cross multiply
    296.53x = 409.05 × 186.03
  4. Step 4: Simplify right side
    296.53x = 76,095.57
  5. Step 5: Solve for x
    x = 76,095.57/296.53
  6. Step 6: Final answer
    x = 256.62

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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.