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Finding the Fourth Proportional to 492.95, 739.16 and 146.23

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Solution

The fourth proportional to 492.95, 739.16 and 146.23 is: 219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.95 : 739.16 = 146.23 : x
  2. Step 2: Convert to fraction form
    492.95/739.16 = 146.23/x
  3. Step 3: Cross multiply
    492.95x = 739.16 × 146.23
  4. Step 4: Simplify right side
    492.95x = 108,088.11
  5. Step 5: Solve for x
    x = 108,088.11/492.95
  6. Step 6: Final answer
    x = 219.27

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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.