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Finding the Fourth Proportional to 468.74, 703.13 and 160.67

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Solution

The fourth proportional to 468.74, 703.13 and 160.67 is: 241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.74 : 703.13 = 160.67 : x
  2. Step 2: Convert to fraction form
    468.74/703.13 = 160.67/x
  3. Step 3: Cross multiply
    468.74x = 703.13 × 160.67
  4. Step 4: Simplify right side
    468.74x = 112,971.90
  5. Step 5: Solve for x
    x = 112,971.90/468.74
  6. Step 6: Final answer
    x = 241.01

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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.