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Finding the Fourth Proportional to 205.24, 307.96 and 97.00

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Solution

The fourth proportional to 205.24, 307.96 and 97.00 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 307.96 = 97.00 : x
  2. Step 2: Convert to fraction form
    205.24/307.96 = 97.00/x
  3. Step 3: Cross multiply
    205.24x = 307.96 × 97.00
  4. Step 4: Simplify right side
    205.24x = 29,870.34
  5. Step 5: Solve for x
    x = 29,870.34/205.24
  6. Step 6: Final answer
    x = 145.54

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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.