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Finding the Fourth Proportional to 187.74, 259.08 and 109.02

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Solution

The fourth proportional to 187.74, 259.08 and 109.02 is: 150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.74 : 259.08 = 109.02 : x
  2. Step 2: Convert to fraction form
    187.74/259.08 = 109.02/x
  3. Step 3: Cross multiply
    187.74x = 259.08 × 109.02
  4. Step 4: Simplify right side
    187.74x = 28,244.90
  5. Step 5: Solve for x
    x = 28,244.90/187.74
  6. Step 6: Final answer
    x = 150.45

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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.