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Finding the Fourth Proportional to 226.04, 312.06 and 155.25

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Solution

The fourth proportional to 226.04, 312.06 and 155.25 is: 214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.04 : 312.06 = 155.25 : x
  2. Step 2: Convert to fraction form
    226.04/312.06 = 155.25/x
  3. Step 3: Cross multiply
    226.04x = 312.06 × 155.25
  4. Step 4: Simplify right side
    226.04x = 48,445.47
  5. Step 5: Solve for x
    x = 48,445.47/226.04
  6. Step 6: Final answer
    x = 214.32

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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.