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Finding the Fourth Proportional to 414.76, 621.58 and 158.12

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Solution

The fourth proportional to 414.76, 621.58 and 158.12 is: 236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 621.58 = 158.12 : x
  2. Step 2: Convert to fraction form
    414.76/621.58 = 158.12/x
  3. Step 3: Cross multiply
    414.76x = 621.58 × 158.12
  4. Step 4: Simplify right side
    414.76x = 98,284.23
  5. Step 5: Solve for x
    x = 98,284.23/414.76
  6. Step 6: Final answer
    x = 236.97

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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.