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Finding the Fourth Proportional to 556.82, 835.24 and 172.08

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Solution

The fourth proportional to 556.82, 835.24 and 172.08 is: 258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.82 : 835.24 = 172.08 : x
  2. Step 2: Convert to fraction form
    556.82/835.24 = 172.08/x
  3. Step 3: Cross multiply
    556.82x = 835.24 × 172.08
  4. Step 4: Simplify right side
    556.82x = 143,728.10
  5. Step 5: Solve for x
    x = 143,728.10/556.82
  6. Step 6: Final answer
    x = 258.12

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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.