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Finding the Fourth Proportional to 369.85, 510.39 and 204.06

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Solution

The fourth proportional to 369.85, 510.39 and 204.06 is: 281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.85 : 510.39 = 204.06 : x
  2. Step 2: Convert to fraction form
    369.85/510.39 = 204.06/x
  3. Step 3: Cross multiply
    369.85x = 510.39 × 204.06
  4. Step 4: Simplify right side
    369.85x = 104,150.18
  5. Step 5: Solve for x
    x = 104,150.18/369.85
  6. Step 6: Final answer
    x = 281.60

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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.