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Finding the Fourth Proportional to 245.92, 339.44 and 152.68

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Solution

The fourth proportional to 245.92, 339.44 and 152.68 is: 210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.92 : 339.44 = 152.68 : x
  2. Step 2: Convert to fraction form
    245.92/339.44 = 152.68/x
  3. Step 3: Cross multiply
    245.92x = 339.44 × 152.68
  4. Step 4: Simplify right side
    245.92x = 51,825.70
  5. Step 5: Solve for x
    x = 51,825.70/245.92
  6. Step 6: Final answer
    x = 210.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.