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Finding the Fourth Proportional to 219.51, 303.35 and 197.64

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Solution

The fourth proportional to 219.51, 303.35 and 197.64 is: 273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.51 : 303.35 = 197.64 : x
  2. Step 2: Convert to fraction form
    219.51/303.35 = 197.64/x
  3. Step 3: Cross multiply
    219.51x = 303.35 × 197.64
  4. Step 4: Simplify right side
    219.51x = 59,953.11
  5. Step 5: Solve for x
    x = 59,953.11/219.51
  6. Step 6: Final answer
    x = 273.12

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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.