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Finding the Fourth Proportional to 347.93, 522 and 142.51

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Solution

The fourth proportional to 347.93, 522 and 142.51 is: 213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.93 : 522 = 142.51 : x
  2. Step 2: Convert to fraction form
    347.93/522 = 142.51/x
  3. Step 3: Cross multiply
    347.93x = 522 × 142.51
  4. Step 4: Simplify right side
    347.93x = 74,388.92
  5. Step 5: Solve for x
    x = 74,388.92/347.93
  6. Step 6: Final answer
    x = 213.80

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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.