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Finding the Fourth Proportional to 291.96, 402.57 and 248.22

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Solution

The fourth proportional to 291.96, 402.57 and 248.22 is: 342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.96 : 402.57 = 248.22 : x
  2. Step 2: Convert to fraction form
    291.96/402.57 = 248.22/x
  3. Step 3: Cross multiply
    291.96x = 402.57 × 248.22
  4. Step 4: Simplify right side
    291.96x = 99,925.93
  5. Step 5: Solve for x
    x = 99,925.93/291.96
  6. Step 6: Final answer
    x = 342.26

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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.