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Finding the Fourth Proportional to 247.94, 370.50 and 202.33

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Solution

The fourth proportional to 247.94, 370.50 and 202.33 is: 302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.94 : 370.50 = 202.33 : x
  2. Step 2: Convert to fraction form
    247.94/370.50 = 202.33/x
  3. Step 3: Cross multiply
    247.94x = 370.50 × 202.33
  4. Step 4: Simplify right side
    247.94x = 74,962.34
  5. Step 5: Solve for x
    x = 74,962.34/247.94
  6. Step 6: Final answer
    x = 302.35

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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.