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Finding the Fourth Proportional to 248.55, 342.57 and 201.75

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Solution

The fourth proportional to 248.55, 342.57 and 201.75 is: 278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.55 : 342.57 = 201.75 : x
  2. Step 2: Convert to fraction form
    248.55/342.57 = 201.75/x
  3. Step 3: Cross multiply
    248.55x = 342.57 × 201.75
  4. Step 4: Simplify right side
    248.55x = 69,113.50
  5. Step 5: Solve for x
    x = 69,113.50/248.55
  6. Step 6: Final answer
    x = 278.07

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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.