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Finding the Fourth Proportional to 242.54, 363.58 and 206.20

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Solution

The fourth proportional to 242.54, 363.58 and 206.20 is: 309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.54 : 363.58 = 206.20 : x
  2. Step 2: Convert to fraction form
    242.54/363.58 = 206.20/x
  3. Step 3: Cross multiply
    242.54x = 363.58 × 206.20
  4. Step 4: Simplify right side
    242.54x = 74,970.20
  5. Step 5: Solve for x
    x = 74,970.20/242.54
  6. Step 6: Final answer
    x = 309.10

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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.