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Finding the Fourth Proportional to 219.36, 302.64 and 140.66

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Solution

The fourth proportional to 219.36, 302.64 and 140.66 is: 194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.36 : 302.64 = 140.66 : x
  2. Step 2: Convert to fraction form
    219.36/302.64 = 140.66/x
  3. Step 3: Cross multiply
    219.36x = 302.64 × 140.66
  4. Step 4: Simplify right side
    219.36x = 42,569.34
  5. Step 5: Solve for x
    x = 42,569.34/219.36
  6. Step 6: Final answer
    x = 194.06

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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.