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Finding the Fourth Proportional to 151.40, 208.68 and 114.50

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Solution

The fourth proportional to 151.40, 208.68 and 114.50 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.40 : 208.68 = 114.50 : x
  2. Step 2: Convert to fraction form
    151.40/208.68 = 114.50/x
  3. Step 3: Cross multiply
    151.40x = 208.68 × 114.50
  4. Step 4: Simplify right side
    151.40x = 23,893.86
  5. Step 5: Solve for x
    x = 23,893.86/151.40
  6. Step 6: Final answer
    x = 157.82

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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.