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Finding the Fourth Proportional to 438.65, 657.94 and 114

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Solution

The fourth proportional to 438.65, 657.94 and 114 is: 170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.65 : 657.94 = 114 : x
  2. Step 2: Convert to fraction form
    438.65/657.94 = 114/x
  3. Step 3: Cross multiply
    438.65x = 657.94 × 114
  4. Step 4: Simplify right side
    438.65x = 75,005.16
  5. Step 5: Solve for x
    x = 75,005.16/438.65
  6. Step 6: Final answer
    x = 170.99

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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.