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Finding the Fourth Proportional to 557, 835.64 and 172.25

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Solution

The fourth proportional to 557, 835.64 and 172.25 is: 258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557 : 835.64 = 172.25 : x
  2. Step 2: Convert to fraction form
    557/835.64 = 172.25/x
  3. Step 3: Cross multiply
    557x = 835.64 × 172.25
  4. Step 4: Simplify right side
    557x = 143,938.13
  5. Step 5: Solve for x
    x = 143,938.13/557
  6. Step 6: Final answer
    x = 258.42

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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.