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Finding the Fourth Proportional to 450.29, 674.96 and 176.16

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Solution

The fourth proportional to 450.29, 674.96 and 176.16 is: 264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.29 : 674.96 = 176.16 : x
  2. Step 2: Convert to fraction form
    450.29/674.96 = 176.16/x
  3. Step 3: Cross multiply
    450.29x = 674.96 × 176.16
  4. Step 4: Simplify right side
    450.29x = 118,900.07
  5. Step 5: Solve for x
    x = 118,900.07/450.29
  6. Step 6: Final answer
    x = 264.05

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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.