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Finding the Fourth Proportional to 204.91, 307.42 and 102.07

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Solution

The fourth proportional to 204.91, 307.42 and 102.07 is: 153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.91 : 307.42 = 102.07 : x
  2. Step 2: Convert to fraction form
    204.91/307.42 = 102.07/x
  3. Step 3: Cross multiply
    204.91x = 307.42 × 102.07
  4. Step 4: Simplify right side
    204.91x = 31,377.34
  5. Step 5: Solve for x
    x = 31,377.34/204.91
  6. Step 6: Final answer
    x = 153.13

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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.