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Finding the Fourth Proportional to 216.04, 325.68 and 202.12

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Solution

The fourth proportional to 216.04, 325.68 and 202.12 is: 304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.04 : 325.68 = 202.12 : x
  2. Step 2: Convert to fraction form
    216.04/325.68 = 202.12/x
  3. Step 3: Cross multiply
    216.04x = 325.68 × 202.12
  4. Step 4: Simplify right side
    216.04x = 65,826.44
  5. Step 5: Solve for x
    x = 65,826.44/216.04
  6. Step 6: Final answer
    x = 304.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.