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Finding the Fourth Proportional to 155.57, 233.21 and 78.30

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Solution

The fourth proportional to 155.57, 233.21 and 78.30 is: 117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.57 : 233.21 = 78.30 : x
  2. Step 2: Convert to fraction form
    155.57/233.21 = 78.30/x
  3. Step 3: Cross multiply
    155.57x = 233.21 × 78.30
  4. Step 4: Simplify right side
    155.57x = 18,259.95
  5. Step 5: Solve for x
    x = 18,259.95/155.57
  6. Step 6: Final answer
    x = 117.38

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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.