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Finding the Fourth Proportional to 206.48, 284.40 and 151.04

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Solution

The fourth proportional to 206.48, 284.40 and 151.04 is: 208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 284.40 = 151.04 : x
  2. Step 2: Convert to fraction form
    206.48/284.40 = 151.04/x
  3. Step 3: Cross multiply
    206.48x = 284.40 × 151.04
  4. Step 4: Simplify right side
    206.48x = 42,955.78
  5. Step 5: Solve for x
    x = 42,955.78/206.48
  6. Step 6: Final answer
    x = 208.04

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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.