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Finding the Fourth Proportional to 369.68, 510.19 and 203.93

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Solution

The fourth proportional to 369.68, 510.19 and 203.93 is: 281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.68 : 510.19 = 203.93 : x
  2. Step 2: Convert to fraction form
    369.68/510.19 = 203.93/x
  3. Step 3: Cross multiply
    369.68x = 510.19 × 203.93
  4. Step 4: Simplify right side
    369.68x = 104,039.99
  5. Step 5: Solve for x
    x = 104,039.99/369.68
  6. Step 6: Final answer
    x = 281.43

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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.