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Finding the Fourth Proportional to 204.02, 305.64 and 101.19

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Solution

The fourth proportional to 204.02, 305.64 and 101.19 is: 151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.02 : 305.64 = 101.19 : x
  2. Step 2: Convert to fraction form
    204.02/305.64 = 101.19/x
  3. Step 3: Cross multiply
    204.02x = 305.64 × 101.19
  4. Step 4: Simplify right side
    204.02x = 30,927.71
  5. Step 5: Solve for x
    x = 30,927.71/204.02
  6. Step 6: Final answer
    x = 151.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.