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Finding the Fourth Proportional to 347.16, 521.49 and 225.36

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Solution

The fourth proportional to 347.16, 521.49 and 225.36 is: 338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.16 : 521.49 = 225.36 : x
  2. Step 2: Convert to fraction form
    347.16/521.49 = 225.36/x
  3. Step 3: Cross multiply
    347.16x = 521.49 × 225.36
  4. Step 4: Simplify right side
    347.16x = 117,522.99
  5. Step 5: Solve for x
    x = 117,522.99/347.16
  6. Step 6: Final answer
    x = 338.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.