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Finding the Fourth Proportional to 159.66, 220.50 and 130.50

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Solution

The fourth proportional to 159.66, 220.50 and 130.50 is: 180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.66 : 220.50 = 130.50 : x
  2. Step 2: Convert to fraction form
    159.66/220.50 = 130.50/x
  3. Step 3: Cross multiply
    159.66x = 220.50 × 130.50
  4. Step 4: Simplify right side
    159.66x = 28,775.25
  5. Step 5: Solve for x
    x = 28,775.25/159.66
  6. Step 6: Final answer
    x = 180.23

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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.