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Finding the Fourth Proportional to 468.92, 703.65 and 176.61

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Solution

The fourth proportional to 468.92, 703.65 and 176.61 is: 265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.92 : 703.65 = 176.61 : x
  2. Step 2: Convert to fraction form
    468.92/703.65 = 176.61/x
  3. Step 3: Cross multiply
    468.92x = 703.65 × 176.61
  4. Step 4: Simplify right side
    468.92x = 124,274.93
  5. Step 5: Solve for x
    x = 124,274.93/468.92
  6. Step 6: Final answer
    x = 265.02

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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.