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Finding the Fourth Proportional to 302.84, 454.61 and 173.33

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Solution

The fourth proportional to 302.84, 454.61 and 173.33 is: 260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.84 : 454.61 = 173.33 : x
  2. Step 2: Convert to fraction form
    302.84/454.61 = 173.33/x
  3. Step 3: Cross multiply
    302.84x = 454.61 × 173.33
  4. Step 4: Simplify right side
    302.84x = 78,797.55
  5. Step 5: Solve for x
    x = 78,797.55/302.84
  6. Step 6: Final answer
    x = 260.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.