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Finding the Fourth Proportional to 187.64, 259.27 and 144.35

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Solution

The fourth proportional to 187.64, 259.27 and 144.35 is: 199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.64 : 259.27 = 144.35 : x
  2. Step 2: Convert to fraction form
    187.64/259.27 = 144.35/x
  3. Step 3: Cross multiply
    187.64x = 259.27 × 144.35
  4. Step 4: Simplify right side
    187.64x = 37,423.97
  5. Step 5: Solve for x
    x = 37,423.97/187.64
  6. Step 6: Final answer
    x = 199.45

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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.