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Finding the Fourth Proportional to 205.93, 307.13 and 193.20

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Solution

The fourth proportional to 205.93, 307.13 and 193.20 is: 288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.93 : 307.13 = 193.20 : x
  2. Step 2: Convert to fraction form
    205.93/307.13 = 193.20/x
  3. Step 3: Cross multiply
    205.93x = 307.13 × 193.20
  4. Step 4: Simplify right side
    205.93x = 59,337.52
  5. Step 5: Solve for x
    x = 59,337.52/205.93
  6. Step 6: Final answer
    x = 288.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.