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Finding the Fourth Proportional to 219.16, 302.51 and 136.23

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Solution

The fourth proportional to 219.16, 302.51 and 136.23 is: 188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.16 : 302.51 = 136.23 : x
  2. Step 2: Convert to fraction form
    219.16/302.51 = 136.23/x
  3. Step 3: Cross multiply
    219.16x = 302.51 × 136.23
  4. Step 4: Simplify right side
    219.16x = 41,210.94
  5. Step 5: Solve for x
    x = 41,210.94/219.16
  6. Step 6: Final answer
    x = 188.04

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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.