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Finding the Fourth Proportional to 155.80, 214.68 and 137.17

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Solution

The fourth proportional to 155.80, 214.68 and 137.17 is: 189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.80 : 214.68 = 137.17 : x
  2. Step 2: Convert to fraction form
    155.80/214.68 = 137.17/x
  3. Step 3: Cross multiply
    155.80x = 214.68 × 137.17
  4. Step 4: Simplify right side
    155.80x = 29,447.66
  5. Step 5: Solve for x
    x = 29,447.66/155.80
  6. Step 6: Final answer
    x = 189.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.