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Finding the Fourth Proportional to 205.40, 307.82 and 153.11

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Solution

The fourth proportional to 205.40, 307.82 and 153.11 is: 229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.40 : 307.82 = 153.11 : x
  2. Step 2: Convert to fraction form
    205.40/307.82 = 153.11/x
  3. Step 3: Cross multiply
    205.40x = 307.82 × 153.11
  4. Step 4: Simplify right side
    205.40x = 47,128.02
  5. Step 5: Solve for x
    x = 47,128.02/205.40
  6. Step 6: Final answer
    x = 229.45

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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.