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Finding the Fourth Proportional to 287.56, 397.14 and 199.17

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Solution

The fourth proportional to 287.56, 397.14 and 199.17 is: 275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.56 : 397.14 = 199.17 : x
  2. Step 2: Convert to fraction form
    287.56/397.14 = 199.17/x
  3. Step 3: Cross multiply
    287.56x = 397.14 × 199.17
  4. Step 4: Simplify right side
    287.56x = 79,098.19
  5. Step 5: Solve for x
    x = 79,098.19/287.56
  6. Step 6: Final answer
    x = 275.07

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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.