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Finding the Fourth Proportional to 219.93, 302.94 and 184.92

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Solution

The fourth proportional to 219.93, 302.94 and 184.92 is: 254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.93 : 302.94 = 184.92 : x
  2. Step 2: Convert to fraction form
    219.93/302.94 = 184.92/x
  3. Step 3: Cross multiply
    219.93x = 302.94 × 184.92
  4. Step 4: Simplify right side
    219.93x = 56,019.66
  5. Step 5: Solve for x
    x = 56,019.66/219.93
  6. Step 6: Final answer
    x = 254.72

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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.