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Finding the Fourth Proportional to 334.51, 501.76 and 172.10

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Solution

The fourth proportional to 334.51, 501.76 and 172.10 is: 258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.51 : 501.76 = 172.10 : x
  2. Step 2: Convert to fraction form
    334.51/501.76 = 172.10/x
  3. Step 3: Cross multiply
    334.51x = 501.76 × 172.10
  4. Step 4: Simplify right side
    334.51x = 86,352.90
  5. Step 5: Solve for x
    x = 86,352.90/334.51
  6. Step 6: Final answer
    x = 258.15

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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.