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Finding the Fourth Proportional to 155.14, 229.46 and 155.14

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Solution

The fourth proportional to 155.14, 229.46 and 155.14 is: 229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.14 : 229.46 = 155.14 : x
  2. Step 2: Convert to fraction form
    155.14/229.46 = 155.14/x
  3. Step 3: Cross multiply
    155.14x = 229.46 × 155.14
  4. Step 4: Simplify right side
    155.14x = 35,599.14
  5. Step 5: Solve for x
    x = 35,599.14/155.14
  6. Step 6: Final answer
    x = 229.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.