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Finding the Fourth Proportional to 205.06, 307.59 and 102.40

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Solution

The fourth proportional to 205.06, 307.59 and 102.40 is: 153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.06 : 307.59 = 102.40 : x
  2. Step 2: Convert to fraction form
    205.06/307.59 = 102.40/x
  3. Step 3: Cross multiply
    205.06x = 307.59 × 102.40
  4. Step 4: Simplify right side
    205.06x = 31,497.22
  5. Step 5: Solve for x
    x = 31,497.22/205.06
  6. Step 6: Final answer
    x = 153.60

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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.