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Finding the Fourth Proportional to 158.63, 219.06 and 120.02

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Solution

The fourth proportional to 158.63, 219.06 and 120.02 is: 165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.63 : 219.06 = 120.02 : x
  2. Step 2: Convert to fraction form
    158.63/219.06 = 120.02/x
  3. Step 3: Cross multiply
    158.63x = 219.06 × 120.02
  4. Step 4: Simplify right side
    158.63x = 26,290.49
  5. Step 5: Solve for x
    x = 26,290.49/158.63
  6. Step 6: Final answer
    x = 165.74

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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.