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Finding the Fourth Proportional to 205.32, 307.68 and 102.45

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Solution

The fourth proportional to 205.32, 307.68 and 102.45 is: 153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.32 : 307.68 = 102.45 : x
  2. Step 2: Convert to fraction form
    205.32/307.68 = 102.45/x
  3. Step 3: Cross multiply
    205.32x = 307.68 × 102.45
  4. Step 4: Simplify right side
    205.32x = 31,521.82
  5. Step 5: Solve for x
    x = 31,521.82/205.32
  6. Step 6: Final answer
    x = 153.53

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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.