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Finding the Fourth Proportional to 616.83, 925.38 and 206.01

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Solution

The fourth proportional to 616.83, 925.38 and 206.01 is: 309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.83 : 925.38 = 206.01 : x
  2. Step 2: Convert to fraction form
    616.83/925.38 = 206.01/x
  3. Step 3: Cross multiply
    616.83x = 925.38 × 206.01
  4. Step 4: Simplify right side
    616.83x = 190,637.53
  5. Step 5: Solve for x
    x = 190,637.53/616.83
  6. Step 6: Final answer
    x = 309.06

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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.