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Finding the Fourth Proportional to 248.47, 370.92 and 216.07

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Solution

The fourth proportional to 248.47, 370.92 and 216.07 is: 322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.47 : 370.92 = 216.07 : x
  2. Step 2: Convert to fraction form
    248.47/370.92 = 216.07/x
  3. Step 3: Cross multiply
    248.47x = 370.92 × 216.07
  4. Step 4: Simplify right side
    248.47x = 80,144.68
  5. Step 5: Solve for x
    x = 80,144.68/248.47
  6. Step 6: Final answer
    x = 322.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.