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Finding the Fourth Proportional to 188.14, 259.07 and 177.18

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Solution

The fourth proportional to 188.14, 259.07 and 177.18 is: 243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.14 : 259.07 = 177.18 : x
  2. Step 2: Convert to fraction form
    188.14/259.07 = 177.18/x
  3. Step 3: Cross multiply
    188.14x = 259.07 × 177.18
  4. Step 4: Simplify right side
    188.14x = 45,901.58
  5. Step 5: Solve for x
    x = 45,901.58/188.14
  6. Step 6: Final answer
    x = 243.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.