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Finding the Fourth Proportional to 204.10, 307.25 and 156.22

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Solution

The fourth proportional to 204.10, 307.25 and 156.22 is: 235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.10 : 307.25 = 156.22 : x
  2. Step 2: Convert to fraction form
    204.10/307.25 = 156.22/x
  3. Step 3: Cross multiply
    204.10x = 307.25 × 156.22
  4. Step 4: Simplify right side
    204.10x = 47,998.60
  5. Step 5: Solve for x
    x = 47,998.60/204.10
  6. Step 6: Final answer
    x = 235.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.