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Finding the Fourth Proportional to 248.54, 372.54 and 118.40

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Solution

The fourth proportional to 248.54, 372.54 and 118.40 is: 177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.54 : 372.54 = 118.40 : x
  2. Step 2: Convert to fraction form
    248.54/372.54 = 118.40/x
  3. Step 3: Cross multiply
    248.54x = 372.54 × 118.40
  4. Step 4: Simplify right side
    248.54x = 44,108.74
  5. Step 5: Solve for x
    x = 44,108.74/248.54
  6. Step 6: Final answer
    x = 177.47

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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.