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Finding the Fourth Proportional to 248.19, 372.41 and 102.05

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Solution

The fourth proportional to 248.19, 372.41 and 102.05 is: 153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.19 : 372.41 = 102.05 : x
  2. Step 2: Convert to fraction form
    248.19/372.41 = 102.05/x
  3. Step 3: Cross multiply
    248.19x = 372.41 × 102.05
  4. Step 4: Simplify right side
    248.19x = 38,005.04
  5. Step 5: Solve for x
    x = 38,005.04/248.19
  6. Step 6: Final answer
    x = 153.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.