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Finding the Fourth Proportional to 150.87, 208.50 and 114.02

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Solution

The fourth proportional to 150.87, 208.50 and 114.02 is: 157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.87 : 208.50 = 114.02 : x
  2. Step 2: Convert to fraction form
    150.87/208.50 = 114.02/x
  3. Step 3: Cross multiply
    150.87x = 208.50 × 114.02
  4. Step 4: Simplify right side
    150.87x = 23,772.13
  5. Step 5: Solve for x
    x = 23,772.13/150.87
  6. Step 6: Final answer
    x = 157.57

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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.