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Finding the Fourth Proportional to 187.74, 280.26 and 158.58

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Solution

The fourth proportional to 187.74, 280.26 and 158.58 is: 236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.74 : 280.26 = 158.58 : x
  2. Step 2: Convert to fraction form
    187.74/280.26 = 158.58/x
  3. Step 3: Cross multiply
    187.74x = 280.26 × 158.58
  4. Step 4: Simplify right side
    187.74x = 44,443.63
  5. Step 5: Solve for x
    x = 44,443.63/187.74
  6. Step 6: Final answer
    x = 236.73

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