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Finding the Fourth Proportional to 203.04, 302.80 and 192.24

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Solution

The fourth proportional to 203.04, 302.80 and 192.24 is: 286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.04 : 302.80 = 192.24 : x
  2. Step 2: Convert to fraction form
    203.04/302.80 = 192.24/x
  3. Step 3: Cross multiply
    203.04x = 302.80 × 192.24
  4. Step 4: Simplify right side
    203.04x = 58,210.27
  5. Step 5: Solve for x
    x = 58,210.27/203.04
  6. Step 6: Final answer
    x = 286.69

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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.