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Finding the Fourth Proportional to 216.19, 322.66 and 197.83

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Solution

The fourth proportional to 216.19, 322.66 and 197.83 is: 295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.19 : 322.66 = 197.83 : x
  2. Step 2: Convert to fraction form
    216.19/322.66 = 197.83/x
  3. Step 3: Cross multiply
    216.19x = 322.66 × 197.83
  4. Step 4: Simplify right side
    216.19x = 63,831.83
  5. Step 5: Solve for x
    x = 63,831.83/216.19
  6. Step 6: Final answer
    x = 295.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.