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Finding the Fourth Proportional to 254.48, 350.51 and 207.77

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Solution

The fourth proportional to 254.48, 350.51 and 207.77 is: 286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.48 : 350.51 = 207.77 : x
  2. Step 2: Convert to fraction form
    254.48/350.51 = 207.77/x
  3. Step 3: Cross multiply
    254.48x = 350.51 × 207.77
  4. Step 4: Simplify right side
    254.48x = 72,822.67
  5. Step 5: Solve for x
    x = 72,822.67/254.48
  6. Step 6: Final answer
    x = 286.17

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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.