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Finding the Fourth Proportional to 623.08, 934.30 and 190.18

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Solution

The fourth proportional to 623.08, 934.30 and 190.18 is: 285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.08 : 934.30 = 190.18 : x
  2. Step 2: Convert to fraction form
    623.08/934.30 = 190.18/x
  3. Step 3: Cross multiply
    623.08x = 934.30 × 190.18
  4. Step 4: Simplify right side
    623.08x = 177,679.55
  5. Step 5: Solve for x
    x = 177,679.55/623.08
  6. Step 6: Final answer
    x = 285.17

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Why These Related Problems?

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