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Finding the Fourth Proportional to 370.12, 510.77 and 204.33

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Solution

The fourth proportional to 370.12, 510.77 and 204.33 is: 281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.12 : 510.77 = 204.33 : x
  2. Step 2: Convert to fraction form
    370.12/510.77 = 204.33/x
  3. Step 3: Cross multiply
    370.12x = 510.77 × 204.33
  4. Step 4: Simplify right side
    370.12x = 104,365.63
  5. Step 5: Solve for x
    x = 104,365.63/370.12
  6. Step 6: Final answer
    x = 281.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.