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Finding the Fourth Proportional to 302.52, 417.52 and 192.05

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Solution

The fourth proportional to 302.52, 417.52 and 192.05 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.52 : 417.52 = 192.05 : x
  2. Step 2: Convert to fraction form
    302.52/417.52 = 192.05/x
  3. Step 3: Cross multiply
    302.52x = 417.52 × 192.05
  4. Step 4: Simplify right side
    302.52x = 80,184.72
  5. Step 5: Solve for x
    x = 80,184.72/302.52
  6. Step 6: Final answer
    x = 265.06

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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.