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Finding the Fourth Proportional to 369.98, 510.56 and 204.16

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Solution

The fourth proportional to 369.98, 510.56 and 204.16 is: 281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.98 : 510.56 = 204.16 : x
  2. Step 2: Convert to fraction form
    369.98/510.56 = 204.16/x
  3. Step 3: Cross multiply
    369.98x = 510.56 × 204.16
  4. Step 4: Simplify right side
    369.98x = 104,235.93
  5. Step 5: Solve for x
    x = 104,235.93/369.98
  6. Step 6: Final answer
    x = 281.73

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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.