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Finding the Fourth Proportional to 369.93, 510.49 and 204.14

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Solution

The fourth proportional to 369.93, 510.49 and 204.14 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.93 : 510.49 = 204.14 : x
  2. Step 2: Convert to fraction form
    369.93/510.49 = 204.14/x
  3. Step 3: Cross multiply
    369.93x = 510.49 × 204.14
  4. Step 4: Simplify right side
    369.93x = 104,208.37
  5. Step 5: Solve for x
    x = 104,208.37/369.93
  6. Step 6: Final answer
    x = 281.70

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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.