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Finding the Fourth Proportional to 158.55, 238.94 and 137.03

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Solution

The fourth proportional to 158.55, 238.94 and 137.03 is: 206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.55 : 238.94 = 137.03 : x
  2. Step 2: Convert to fraction form
    158.55/238.94 = 137.03/x
  3. Step 3: Cross multiply
    158.55x = 238.94 × 137.03
  4. Step 4: Simplify right side
    158.55x = 32,741.95
  5. Step 5: Solve for x
    x = 32,741.95/158.55
  6. Step 6: Final answer
    x = 206.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.