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Finding the Fourth Proportional to 245.69, 338.96 and 152.49

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Solution

The fourth proportional to 245.69, 338.96 and 152.49 is: 210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.69 : 338.96 = 152.49 : x
  2. Step 2: Convert to fraction form
    245.69/338.96 = 152.49/x
  3. Step 3: Cross multiply
    245.69x = 338.96 × 152.49
  4. Step 4: Simplify right side
    245.69x = 51,688.39
  5. Step 5: Solve for x
    x = 51,688.39/245.69
  6. Step 6: Final answer
    x = 210.38

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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.