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Finding the Fourth Proportional to 248.40, 342.80 and 137.87

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Solution

The fourth proportional to 248.40, 342.80 and 137.87 is: 190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.40 : 342.80 = 137.87 : x
  2. Step 2: Convert to fraction form
    248.40/342.80 = 137.87/x
  3. Step 3: Cross multiply
    248.40x = 342.80 × 137.87
  4. Step 4: Simplify right side
    248.40x = 47,261.24
  5. Step 5: Solve for x
    x = 47,261.24/248.40
  6. Step 6: Final answer
    x = 190.26

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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.