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Finding the Fourth Proportional to 358, 537.20 and 206

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Solution

The fourth proportional to 358, 537.20 and 206 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358 : 537.20 = 206 : x
  2. Step 2: Convert to fraction form
    358/537.20 = 206/x
  3. Step 3: Cross multiply
    358x = 537.20 × 206
  4. Step 4: Simplify right side
    358x = 110,663.20
  5. Step 5: Solve for x
    x = 110,663.20/358
  6. Step 6: Final answer
    x = 309.12

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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.