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Finding the Fourth Proportional to 369.77, 510.31 and 204.00

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Solution

The fourth proportional to 369.77, 510.31 and 204.00 is: 281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.77 : 510.31 = 204.00 : x
  2. Step 2: Convert to fraction form
    369.77/510.31 = 204.00/x
  3. Step 3: Cross multiply
    369.77x = 510.31 × 204.00
  4. Step 4: Simplify right side
    369.77x = 104,101.58
  5. Step 5: Solve for x
    x = 104,101.58/369.77
  6. Step 6: Final answer
    x = 281.53

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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.