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Finding the Fourth Proportional to 158.74, 237.48 and 120.33

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Solution

The fourth proportional to 158.74, 237.48 and 120.33 is: 180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.74 : 237.48 = 120.33 : x
  2. Step 2: Convert to fraction form
    158.74/237.48 = 120.33/x
  3. Step 3: Cross multiply
    158.74x = 237.48 × 120.33
  4. Step 4: Simplify right side
    158.74x = 28,574.18
  5. Step 5: Solve for x
    x = 28,574.18/158.74
  6. Step 6: Final answer
    x = 180.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.