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Finding the Fourth Proportional to 155.85, 234.98 and 135.47

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Solution

The fourth proportional to 155.85, 234.98 and 135.47 is: 204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.85 : 234.98 = 135.47 : x
  2. Step 2: Convert to fraction form
    155.85/234.98 = 135.47/x
  3. Step 3: Cross multiply
    155.85x = 234.98 × 135.47
  4. Step 4: Simplify right side
    155.85x = 31,830.89
  5. Step 5: Solve for x
    x = 31,830.89/155.85
  6. Step 6: Final answer
    x = 204.24

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Why These Related Problems?

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