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Finding the Fourth Proportional to 223.48, 334.54 and 162.32

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Solution

The fourth proportional to 223.48, 334.54 and 162.32 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.48 : 334.54 = 162.32 : x
  2. Step 2: Convert to fraction form
    223.48/334.54 = 162.32/x
  3. Step 3: Cross multiply
    223.48x = 334.54 × 162.32
  4. Step 4: Simplify right side
    223.48x = 54,301.76
  5. Step 5: Solve for x
    x = 54,301.76/223.48
  6. Step 6: Final answer
    x = 242.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.