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Finding the Fourth Proportional to 302.32, 416.71 and 203.91

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Solution

The fourth proportional to 302.32, 416.71 and 203.91 is: 281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.32 : 416.71 = 203.91 : x
  2. Step 2: Convert to fraction form
    302.32/416.71 = 203.91/x
  3. Step 3: Cross multiply
    302.32x = 416.71 × 203.91
  4. Step 4: Simplify right side
    302.32x = 84,971.34
  5. Step 5: Solve for x
    x = 84,971.34/302.32
  6. Step 6: Final answer
    x = 281.06

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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.