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Finding the Fourth Proportional to 296.01, 443.89 and 90.47

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Solution

The fourth proportional to 296.01, 443.89 and 90.47 is: 135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.01 : 443.89 = 90.47 : x
  2. Step 2: Convert to fraction form
    296.01/443.89 = 90.47/x
  3. Step 3: Cross multiply
    296.01x = 443.89 × 90.47
  4. Step 4: Simplify right side
    296.01x = 40,158.99
  5. Step 5: Solve for x
    x = 40,158.99/296.01
  6. Step 6: Final answer
    x = 135.67

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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.