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Finding the Fourth Proportional to 248.36, 372.50 and 65.78

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Solution

The fourth proportional to 248.36, 372.50 and 65.78 is: 98.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.36 : 372.50 = 65.78 : x
  2. Step 2: Convert to fraction form
    248.36/372.50 = 65.78/x
  3. Step 3: Cross multiply
    248.36x = 372.50 × 65.78
  4. Step 4: Simplify right side
    248.36x = 24,501.19
  5. Step 5: Solve for x
    x = 24,501.19/248.36
  6. Step 6: Final answer
    x = 98.65

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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.