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Finding the Fourth Proportional to 302.37, 417.12 and 191.81

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Solution

The fourth proportional to 302.37, 417.12 and 191.81 is: 264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.37 : 417.12 = 191.81 : x
  2. Step 2: Convert to fraction form
    302.37/417.12 = 191.81/x
  3. Step 3: Cross multiply
    302.37x = 417.12 × 191.81
  4. Step 4: Simplify right side
    302.37x = 80,007.79
  5. Step 5: Solve for x
    x = 80,007.79/302.37
  6. Step 6: Final answer
    x = 264.60

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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.