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Finding the Fourth Proportional to 308.61, 425.66 and 210.40

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Solution

The fourth proportional to 308.61, 425.66 and 210.40 is: 290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.61 : 425.66 = 210.40 : x
  2. Step 2: Convert to fraction form
    308.61/425.66 = 210.40/x
  3. Step 3: Cross multiply
    308.61x = 425.66 × 210.40
  4. Step 4: Simplify right side
    308.61x = 89,556.75
  5. Step 5: Solve for x
    x = 89,556.75/308.61
  6. Step 6: Final answer
    x = 290.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.