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Finding the Fourth Proportional to 334.47, 501.64 and 172.14

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Solution

The fourth proportional to 334.47, 501.64 and 172.14 is: 258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.47 : 501.64 = 172.14 : x
  2. Step 2: Convert to fraction form
    334.47/501.64 = 172.14/x
  3. Step 3: Cross multiply
    334.47x = 501.64 × 172.14
  4. Step 4: Simplify right side
    334.47x = 86,352.31
  5. Step 5: Solve for x
    x = 86,352.31/334.47
  6. Step 6: Final answer
    x = 258.18

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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.