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Finding the Fourth Proportional to 302.74, 417.96 and 192.30

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Solution

The fourth proportional to 302.74, 417.96 and 192.30 is: 265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.74 : 417.96 = 192.30 : x
  2. Step 2: Convert to fraction form
    302.74/417.96 = 192.30/x
  3. Step 3: Cross multiply
    302.74x = 417.96 × 192.30
  4. Step 4: Simplify right side
    302.74x = 80,373.71
  5. Step 5: Solve for x
    x = 80,373.71/302.74
  6. Step 6: Final answer
    x = 265.49

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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.