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Finding the Fourth Proportional to 369.99, 510.55 and 204.18

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Solution

The fourth proportional to 369.99, 510.55 and 204.18 is: 281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.99 : 510.55 = 204.18 : x
  2. Step 2: Convert to fraction form
    369.99/510.55 = 204.18/x
  3. Step 3: Cross multiply
    369.99x = 510.55 × 204.18
  4. Step 4: Simplify right side
    369.99x = 104,243.08
  5. Step 5: Solve for x
    x = 104,243.08/369.99
  6. Step 6: Final answer
    x = 281.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.