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Finding the Fourth Proportional to 187.88, 259.29 and 110.25

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Solution

The fourth proportional to 187.88, 259.29 and 110.25 is: 152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.88 : 259.29 = 110.25 : x
  2. Step 2: Convert to fraction form
    187.88/259.29 = 110.25/x
  3. Step 3: Cross multiply
    187.88x = 259.29 × 110.25
  4. Step 4: Simplify right side
    187.88x = 28,586.72
  5. Step 5: Solve for x
    x = 28,586.72/187.88
  6. Step 6: Final answer
    x = 152.16

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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.