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Finding the Fourth Proportional to 187.86, 259.28 and 110.23

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Solution

The fourth proportional to 187.86, 259.28 and 110.23 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.86 : 259.28 = 110.23 : x
  2. Step 2: Convert to fraction form
    187.86/259.28 = 110.23/x
  3. Step 3: Cross multiply
    187.86x = 259.28 × 110.23
  4. Step 4: Simplify right side
    187.86x = 28,580.43
  5. Step 5: Solve for x
    x = 28,580.43/187.86
  6. Step 6: Final answer
    x = 152.14

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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.