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Finding the Fourth Proportional to 302.47, 453.34 and 172.58

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Solution

The fourth proportional to 302.47, 453.34 and 172.58 is: 258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.47 : 453.34 = 172.58 : x
  2. Step 2: Convert to fraction form
    302.47/453.34 = 172.58/x
  3. Step 3: Cross multiply
    302.47x = 453.34 × 172.58
  4. Step 4: Simplify right side
    302.47x = 78,236.55
  5. Step 5: Solve for x
    x = 78,236.55/302.47
  6. Step 6: Final answer
    x = 258.66

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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.