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Finding the Fourth Proportional to 347.98, 522.12 and 152.95

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Solution

The fourth proportional to 347.98, 522.12 and 152.95 is: 229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.98 : 522.12 = 152.95 : x
  2. Step 2: Convert to fraction form
    347.98/522.12 = 152.95/x
  3. Step 3: Cross multiply
    347.98x = 522.12 × 152.95
  4. Step 4: Simplify right side
    347.98x = 79,858.25
  5. Step 5: Solve for x
    x = 79,858.25/347.98
  6. Step 6: Final answer
    x = 229.49

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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.