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Finding the Fourth Proportional to 292.69, 438.76 and 184.23

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Solution

The fourth proportional to 292.69, 438.76 and 184.23 is: 276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.69 : 438.76 = 184.23 : x
  2. Step 2: Convert to fraction form
    292.69/438.76 = 184.23/x
  3. Step 3: Cross multiply
    292.69x = 438.76 × 184.23
  4. Step 4: Simplify right side
    292.69x = 80,832.75
  5. Step 5: Solve for x
    x = 80,832.75/292.69
  6. Step 6: Final answer
    x = 276.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.