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Finding the Fourth Proportional to 254.16, 350.24 and 207.66

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Solution

The fourth proportional to 254.16, 350.24 and 207.66 is: 286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 350.24 = 207.66 : x
  2. Step 2: Convert to fraction form
    254.16/350.24 = 207.66/x
  3. Step 3: Cross multiply
    254.16x = 350.24 × 207.66
  4. Step 4: Simplify right side
    254.16x = 72,730.84
  5. Step 5: Solve for x
    x = 72,730.84/254.16
  6. Step 6: Final answer
    x = 286.16

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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.