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Finding the Fourth Proportional to 187.79, 259.16 and 109.10

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Solution

The fourth proportional to 187.79, 259.16 and 109.10 is: 150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.79 : 259.16 = 109.10 : x
  2. Step 2: Convert to fraction form
    187.79/259.16 = 109.10/x
  3. Step 3: Cross multiply
    187.79x = 259.16 × 109.10
  4. Step 4: Simplify right side
    187.79x = 28,274.46
  5. Step 5: Solve for x
    x = 28,274.46/187.79
  6. Step 6: Final answer
    x = 150.57

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Why These Related Problems?

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