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Finding the Fourth Proportional to 342.53, 472.69 and 225.89

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Solution

The fourth proportional to 342.53, 472.69 and 225.89 is: 311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.53 : 472.69 = 225.89 : x
  2. Step 2: Convert to fraction form
    342.53/472.69 = 225.89/x
  3. Step 3: Cross multiply
    342.53x = 472.69 × 225.89
  4. Step 4: Simplify right side
    342.53x = 106,774.81
  5. Step 5: Solve for x
    x = 106,774.81/342.53
  6. Step 6: Final answer
    x = 311.72

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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.