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Finding the Fourth Proportional to 417.81, 626.76 and 157.80

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Solution

The fourth proportional to 417.81, 626.76 and 157.80 is: 236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.81 : 626.76 = 157.80 : x
  2. Step 2: Convert to fraction form
    417.81/626.76 = 157.80/x
  3. Step 3: Cross multiply
    417.81x = 626.76 × 157.80
  4. Step 4: Simplify right side
    417.81x = 98,902.73
  5. Step 5: Solve for x
    x = 98,902.73/417.81
  6. Step 6: Final answer
    x = 236.72

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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.