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Finding the Fourth Proportional to 302.21, 452.84 and 174.05

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Solution

The fourth proportional to 302.21, 452.84 and 174.05 is: 260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.21 : 452.84 = 174.05 : x
  2. Step 2: Convert to fraction form
    302.21/452.84 = 174.05/x
  3. Step 3: Cross multiply
    302.21x = 452.84 × 174.05
  4. Step 4: Simplify right side
    302.21x = 78,815.93
  5. Step 5: Solve for x
    x = 78,815.93/302.21
  6. Step 6: Final answer
    x = 260.80

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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.