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Finding the Fourth Proportional to 245.09, 365.24 and 237.67

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Solution

The fourth proportional to 245.09, 365.24 and 237.67 is: 354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.09 : 365.24 = 237.67 : x
  2. Step 2: Convert to fraction form
    245.09/365.24 = 237.67/x
  3. Step 3: Cross multiply
    245.09x = 365.24 × 237.67
  4. Step 4: Simplify right side
    245.09x = 86,807.18
  5. Step 5: Solve for x
    x = 86,807.18/245.09
  6. Step 6: Final answer
    x = 354.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.