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Finding the Fourth Proportional to 276.48, 414.16 and 148

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Solution

The fourth proportional to 276.48, 414.16 and 148 is: 221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.48 : 414.16 = 148 : x
  2. Step 2: Convert to fraction form
    276.48/414.16 = 148/x
  3. Step 3: Cross multiply
    276.48x = 414.16 × 148
  4. Step 4: Simplify right side
    276.48x = 61,295.68
  5. Step 5: Solve for x
    x = 61,295.68/276.48
  6. Step 6: Final answer
    x = 221.70

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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.