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Finding the Fourth Proportional to 155.76, 214.47 and 137.34

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Solution

The fourth proportional to 155.76, 214.47 and 137.34 is: 189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.76 : 214.47 = 137.34 : x
  2. Step 2: Convert to fraction form
    155.76/214.47 = 137.34/x
  3. Step 3: Cross multiply
    155.76x = 214.47 × 137.34
  4. Step 4: Simplify right side
    155.76x = 29,455.31
  5. Step 5: Solve for x
    x = 29,455.31/155.76
  6. Step 6: Final answer
    x = 189.11

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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.