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Finding the Fourth Proportional to 188, 259.44 and 177.20

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Solution

The fourth proportional to 188, 259.44 and 177.20 is: 244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188 : 259.44 = 177.20 : x
  2. Step 2: Convert to fraction form
    188/259.44 = 177.20/x
  3. Step 3: Cross multiply
    188x = 259.44 × 177.20
  4. Step 4: Simplify right side
    188x = 45,972.77
  5. Step 5: Solve for x
    x = 45,972.77/188
  6. Step 6: Final answer
    x = 244.54

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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.