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Finding the Fourth Proportional to 302.19, 452.70 and 172.05

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Solution

The fourth proportional to 302.19, 452.70 and 172.05 is: 257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.19 : 452.70 = 172.05 : x
  2. Step 2: Convert to fraction form
    302.19/452.70 = 172.05/x
  3. Step 3: Cross multiply
    302.19x = 452.70 × 172.05
  4. Step 4: Simplify right side
    302.19x = 77,887.04
  5. Step 5: Solve for x
    x = 77,887.04/302.19
  6. Step 6: Final answer
    x = 257.74

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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.