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Finding the Fourth Proportional to 296.12, 443.94 and 125

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Solution

The fourth proportional to 296.12, 443.94 and 125 is: 187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.12 : 443.94 = 125 : x
  2. Step 2: Convert to fraction form
    296.12/443.94 = 125/x
  3. Step 3: Cross multiply
    296.12x = 443.94 × 125
  4. Step 4: Simplify right side
    296.12x = 55,492.50
  5. Step 5: Solve for x
    x = 55,492.50/296.12
  6. Step 6: Final answer
    x = 187.40

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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.