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Finding the Fourth Proportional to 205.44, 307.24 and 156.13

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Solution

The fourth proportional to 205.44, 307.24 and 156.13 is: 233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.44 : 307.24 = 156.13 : x
  2. Step 2: Convert to fraction form
    205.44/307.24 = 156.13/x
  3. Step 3: Cross multiply
    205.44x = 307.24 × 156.13
  4. Step 4: Simplify right side
    205.44x = 47,969.10
  5. Step 5: Solve for x
    x = 47,969.10/205.44
  6. Step 6: Final answer
    x = 233.50

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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.