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Finding the Fourth Proportional to 233.86, 322.66 and 224.63

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Solution

The fourth proportional to 233.86, 322.66 and 224.63 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.86 : 322.66 = 224.63 : x
  2. Step 2: Convert to fraction form
    233.86/322.66 = 224.63/x
  3. Step 3: Cross multiply
    233.86x = 322.66 × 224.63
  4. Step 4: Simplify right side
    233.86x = 72,479.12
  5. Step 5: Solve for x
    x = 72,479.12/233.86
  6. Step 6: Final answer
    x = 309.93

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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.