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Finding the Fourth Proportional to 292.91, 438.86 and 190.08

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Solution

The fourth proportional to 292.91, 438.86 and 190.08 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.91 : 438.86 = 190.08 : x
  2. Step 2: Convert to fraction form
    292.91/438.86 = 190.08/x
  3. Step 3: Cross multiply
    292.91x = 438.86 × 190.08
  4. Step 4: Simplify right side
    292.91x = 83,416.31
  5. Step 5: Solve for x
    x = 83,416.31/292.91
  6. Step 6: Final answer
    x = 284.78

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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.