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Finding the Fourth Proportional to 187.50, 259.29 and 178.91

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Solution

The fourth proportional to 187.50, 259.29 and 178.91 is: 247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.50 : 259.29 = 178.91 : x
  2. Step 2: Convert to fraction form
    187.50/259.29 = 178.91/x
  3. Step 3: Cross multiply
    187.50x = 259.29 × 178.91
  4. Step 4: Simplify right side
    187.50x = 46,388.28
  5. Step 5: Solve for x
    x = 46,388.28/187.50
  6. Step 6: Final answer
    x = 247.40

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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.