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Finding the Fourth Proportional to 219.40, 302.88 and 183.94

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Solution

The fourth proportional to 219.40, 302.88 and 183.94 is: 253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.40 : 302.88 = 183.94 : x
  2. Step 2: Convert to fraction form
    219.40/302.88 = 183.94/x
  3. Step 3: Cross multiply
    219.40x = 302.88 × 183.94
  4. Step 4: Simplify right side
    219.40x = 55,711.75
  5. Step 5: Solve for x
    x = 55,711.75/219.40
  6. Step 6: Final answer
    x = 253.93

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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.