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Finding the Fourth Proportional to 250.77, 376.10 and 146.58

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Solution

The fourth proportional to 250.77, 376.10 and 146.58 is: 219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.77 : 376.10 = 146.58 : x
  2. Step 2: Convert to fraction form
    250.77/376.10 = 146.58/x
  3. Step 3: Cross multiply
    250.77x = 376.10 × 146.58
  4. Step 4: Simplify right side
    250.77x = 55,128.01
  5. Step 5: Solve for x
    x = 55,128.01/250.77
  6. Step 6: Final answer
    x = 219.83

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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.