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Finding the Fourth Proportional to 221.48, 305.64 and 123.24

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Solution

The fourth proportional to 221.48, 305.64 and 123.24 is: 170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.48 : 305.64 = 123.24 : x
  2. Step 2: Convert to fraction form
    221.48/305.64 = 123.24/x
  3. Step 3: Cross multiply
    221.48x = 305.64 × 123.24
  4. Step 4: Simplify right side
    221.48x = 37,667.13
  5. Step 5: Solve for x
    x = 37,667.13/221.48
  6. Step 6: Final answer
    x = 170.07

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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.