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Finding the Fourth Proportional to 302.10, 452.88 and 165.22

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Solution

The fourth proportional to 302.10, 452.88 and 165.22 is: 247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.10 : 452.88 = 165.22 : x
  2. Step 2: Convert to fraction form
    302.10/452.88 = 165.22/x
  3. Step 3: Cross multiply
    302.10x = 452.88 × 165.22
  4. Step 4: Simplify right side
    302.10x = 74,824.83
  5. Step 5: Solve for x
    x = 74,824.83/302.10
  6. Step 6: Final answer
    x = 247.68

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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.