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Finding the Fourth Proportional to 223.58, 308.32 and 148.81

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Solution

The fourth proportional to 223.58, 308.32 and 148.81 is: 205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.58 : 308.32 = 148.81 : x
  2. Step 2: Convert to fraction form
    223.58/308.32 = 148.81/x
  3. Step 3: Cross multiply
    223.58x = 308.32 × 148.81
  4. Step 4: Simplify right side
    223.58x = 45,881.10
  5. Step 5: Solve for x
    x = 45,881.10/223.58
  6. Step 6: Final answer
    x = 205.21

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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.