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Finding the Fourth Proportional to 277.98, 416.57 and 148.07

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Solution

The fourth proportional to 277.98, 416.57 and 148.07 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.98 : 416.57 = 148.07 : x
  2. Step 2: Convert to fraction form
    277.98/416.57 = 148.07/x
  3. Step 3: Cross multiply
    277.98x = 416.57 × 148.07
  4. Step 4: Simplify right side
    277.98x = 61,678.70
  5. Step 5: Solve for x
    x = 61,678.70/277.98
  6. Step 6: Final answer
    x = 221.88

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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.