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Finding the Fourth Proportional to 245.86, 339.36 and 146.32

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Solution

The fourth proportional to 245.86, 339.36 and 146.32 is: 201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.86 : 339.36 = 146.32 : x
  2. Step 2: Convert to fraction form
    245.86/339.36 = 146.32/x
  3. Step 3: Cross multiply
    245.86x = 339.36 × 146.32
  4. Step 4: Simplify right side
    245.86x = 49,655.16
  5. Step 5: Solve for x
    x = 49,655.16/245.86
  6. Step 6: Final answer
    x = 201.97

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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.