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Finding the Fourth Proportional to 296.69, 445.07 and 152.44

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Solution

The fourth proportional to 296.69, 445.07 and 152.44 is: 228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.69 : 445.07 = 152.44 : x
  2. Step 2: Convert to fraction form
    296.69/445.07 = 152.44/x
  3. Step 3: Cross multiply
    296.69x = 445.07 × 152.44
  4. Step 4: Simplify right side
    296.69x = 67,846.47
  5. Step 5: Solve for x
    x = 67,846.47/296.69
  6. Step 6: Final answer
    x = 228.68

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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.