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Finding the Fourth Proportional to 638.14, 957.16 and 175.90

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Solution

The fourth proportional to 638.14, 957.16 and 175.90 is: 263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.14 : 957.16 = 175.90 : x
  2. Step 2: Convert to fraction form
    638.14/957.16 = 175.90/x
  3. Step 3: Cross multiply
    638.14x = 957.16 × 175.90
  4. Step 4: Simplify right side
    638.14x = 168,363.56
  5. Step 5: Solve for x
    x = 168,363.56/638.14
  6. Step 6: Final answer
    x = 263.84

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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.