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Finding the Fourth Proportional to 151.01, 208.46 and 114.18

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Solution

The fourth proportional to 151.01, 208.46 and 114.18 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.01 : 208.46 = 114.18 : x
  2. Step 2: Convert to fraction form
    151.01/208.46 = 114.18/x
  3. Step 3: Cross multiply
    151.01x = 208.46 × 114.18
  4. Step 4: Simplify right side
    151.01x = 23,801.39
  5. Step 5: Solve for x
    x = 23,801.39/151.01
  6. Step 6: Final answer
    x = 157.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.