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Finding the Fourth Proportional to 347.47, 521.03 and 142.00

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Solution

The fourth proportional to 347.47, 521.03 and 142.00 is: 212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.47 : 521.03 = 142.00 : x
  2. Step 2: Convert to fraction form
    347.47/521.03 = 142.00/x
  3. Step 3: Cross multiply
    347.47x = 521.03 × 142.00
  4. Step 4: Simplify right side
    347.47x = 73,985.31
  5. Step 5: Solve for x
    x = 73,985.31/347.47
  6. Step 6: Final answer
    x = 212.93

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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.