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Finding the Fourth Proportional to 159.08, 236.88 and 149.76

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Solution

The fourth proportional to 159.08, 236.88 and 149.76 is: 223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.08 : 236.88 = 149.76 : x
  2. Step 2: Convert to fraction form
    159.08/236.88 = 149.76/x
  3. Step 3: Cross multiply
    159.08x = 236.88 × 149.76
  4. Step 4: Simplify right side
    159.08x = 35,475.15
  5. Step 5: Solve for x
    x = 35,475.15/159.08
  6. Step 6: Final answer
    x = 223.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.