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Finding the Fourth Proportional to 223.02, 332.46 and 210.86

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Solution

The fourth proportional to 223.02, 332.46 and 210.86 is: 314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.02 : 332.46 = 210.86 : x
  2. Step 2: Convert to fraction form
    223.02/332.46 = 210.86/x
  3. Step 3: Cross multiply
    223.02x = 332.46 × 210.86
  4. Step 4: Simplify right side
    223.02x = 70,102.52
  5. Step 5: Solve for x
    x = 70,102.52/223.02
  6. Step 6: Final answer
    x = 314.33

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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.