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Finding the Fourth Proportional to 155.34, 231.99 and 135.66

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Solution

The fourth proportional to 155.34, 231.99 and 135.66 is: 202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.34 : 231.99 = 135.66 : x
  2. Step 2: Convert to fraction form
    155.34/231.99 = 135.66/x
  3. Step 3: Cross multiply
    155.34x = 231.99 × 135.66
  4. Step 4: Simplify right side
    155.34x = 31,471.76
  5. Step 5: Solve for x
    x = 31,471.76/155.34
  6. Step 6: Final answer
    x = 202.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.