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Finding the Fourth Proportional to 188.32, 259.68 and 177.76

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Solution

The fourth proportional to 188.32, 259.68 and 177.76 is: 245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.32 : 259.68 = 177.76 : x
  2. Step 2: Convert to fraction form
    188.32/259.68 = 177.76/x
  3. Step 3: Cross multiply
    188.32x = 259.68 × 177.76
  4. Step 4: Simplify right side
    188.32x = 46,160.72
  5. Step 5: Solve for x
    x = 46,160.72/188.32
  6. Step 6: Final answer
    x = 245.12

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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.