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Finding the Fourth Proportional to 187.80, 259.14 and 114.10

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Solution

The fourth proportional to 187.80, 259.14 and 114.10 is: 157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.80 : 259.14 = 114.10 : x
  2. Step 2: Convert to fraction form
    187.80/259.14 = 114.10/x
  3. Step 3: Cross multiply
    187.80x = 259.14 × 114.10
  4. Step 4: Simplify right side
    187.80x = 29,567.87
  5. Step 5: Solve for x
    x = 29,567.87/187.80
  6. Step 6: Final answer
    x = 157.44

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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.