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Finding the Fourth Proportional to 155.30, 234.05 and 147.98

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Solution

The fourth proportional to 155.30, 234.05 and 147.98 is: 223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.30 : 234.05 = 147.98 : x
  2. Step 2: Convert to fraction form
    155.30/234.05 = 147.98/x
  3. Step 3: Cross multiply
    155.30x = 234.05 × 147.98
  4. Step 4: Simplify right side
    155.30x = 34,634.72
  5. Step 5: Solve for x
    x = 34,634.72/155.30
  6. Step 6: Final answer
    x = 223.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.