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Finding the Fourth Proportional to 223.01, 307.64 and 170.46

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Solution

The fourth proportional to 223.01, 307.64 and 170.46 is: 235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.01 : 307.64 = 170.46 : x
  2. Step 2: Convert to fraction form
    223.01/307.64 = 170.46/x
  3. Step 3: Cross multiply
    223.01x = 307.64 × 170.46
  4. Step 4: Simplify right side
    223.01x = 52,439.46
  5. Step 5: Solve for x
    x = 52,439.46/223.01
  6. Step 6: Final answer
    x = 235.15

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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.