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Finding the Fourth Proportional to 296.10, 407.55 and 208.62

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Solution

The fourth proportional to 296.10, 407.55 and 208.62 is: 287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.10 : 407.55 = 208.62 : x
  2. Step 2: Convert to fraction form
    296.10/407.55 = 208.62/x
  3. Step 3: Cross multiply
    296.10x = 407.55 × 208.62
  4. Step 4: Simplify right side
    296.10x = 85,023.08
  5. Step 5: Solve for x
    x = 85,023.08/296.10
  6. Step 6: Final answer
    x = 287.14

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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.