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Finding the Fourth Proportional to 213.14, 293.51 and 208.35

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Solution

The fourth proportional to 213.14, 293.51 and 208.35 is: 286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 293.51 = 208.35 : x
  2. Step 2: Convert to fraction form
    213.14/293.51 = 208.35/x
  3. Step 3: Cross multiply
    213.14x = 293.51 × 208.35
  4. Step 4: Simplify right side
    213.14x = 61,152.81
  5. Step 5: Solve for x
    x = 61,152.81/213.14
  6. Step 6: Final answer
    x = 286.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.