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Finding the Fourth Proportional to 192.58, 288.80 and 69.15

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Solution

The fourth proportional to 192.58, 288.80 and 69.15 is: 103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.58 : 288.80 = 69.15 : x
  2. Step 2: Convert to fraction form
    192.58/288.80 = 69.15/x
  3. Step 3: Cross multiply
    192.58x = 288.80 × 69.15
  4. Step 4: Simplify right side
    192.58x = 19,970.52
  5. Step 5: Solve for x
    x = 19,970.52/192.58
  6. Step 6: Final answer
    x = 103.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.