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Finding the Fourth Proportional to 347.77, 521.36 and 193.74

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Solution

The fourth proportional to 347.77, 521.36 and 193.74 is: 290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.77 : 521.36 = 193.74 : x
  2. Step 2: Convert to fraction form
    347.77/521.36 = 193.74/x
  3. Step 3: Cross multiply
    347.77x = 521.36 × 193.74
  4. Step 4: Simplify right side
    347.77x = 101,008.29
  5. Step 5: Solve for x
    x = 101,008.29/347.77
  6. Step 6: Final answer
    x = 290.45

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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.