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Finding the Fourth Proportional to 206.53, 309.95 and 98.35

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Solution

The fourth proportional to 206.53, 309.95 and 98.35 is: 147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.53 : 309.95 = 98.35 : x
  2. Step 2: Convert to fraction form
    206.53/309.95 = 98.35/x
  3. Step 3: Cross multiply
    206.53x = 309.95 × 98.35
  4. Step 4: Simplify right side
    206.53x = 30,482.68
  5. Step 5: Solve for x
    x = 30,482.68/206.53
  6. Step 6: Final answer
    x = 147.59

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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.