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Finding the Fourth Proportional to 158.37, 218.37 and 130.74

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Solution

The fourth proportional to 158.37, 218.37 and 130.74 is: 180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.37 : 218.37 = 130.74 : x
  2. Step 2: Convert to fraction form
    158.37/218.37 = 130.74/x
  3. Step 3: Cross multiply
    158.37x = 218.37 × 130.74
  4. Step 4: Simplify right side
    158.37x = 28,549.69
  5. Step 5: Solve for x
    x = 28,549.69/158.37
  6. Step 6: Final answer
    x = 180.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.