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Finding the Fourth Proportional to 468.75, 703.14 and 176.22

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Solution

The fourth proportional to 468.75, 703.14 and 176.22 is: 264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.75 : 703.14 = 176.22 : x
  2. Step 2: Convert to fraction form
    468.75/703.14 = 176.22/x
  3. Step 3: Cross multiply
    468.75x = 703.14 × 176.22
  4. Step 4: Simplify right side
    468.75x = 123,907.66
  5. Step 5: Solve for x
    x = 123,907.66/468.75
  6. Step 6: Final answer
    x = 264.34

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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.