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Finding the Fourth Proportional to 219.30, 302.28 and 153.66

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Solution

The fourth proportional to 219.30, 302.28 and 153.66 is: 211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.30 : 302.28 = 153.66 : x
  2. Step 2: Convert to fraction form
    219.30/302.28 = 153.66/x
  3. Step 3: Cross multiply
    219.30x = 302.28 × 153.66
  4. Step 4: Simplify right side
    219.30x = 46,448.34
  5. Step 5: Solve for x
    x = 46,448.34/219.30
  6. Step 6: Final answer
    x = 211.80

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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.