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Finding the Fourth Proportional to 450.57, 675.99 and 176.75

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Solution

The fourth proportional to 450.57, 675.99 and 176.75 is: 265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.57 : 675.99 = 176.75 : x
  2. Step 2: Convert to fraction form
    450.57/675.99 = 176.75/x
  3. Step 3: Cross multiply
    450.57x = 675.99 × 176.75
  4. Step 4: Simplify right side
    450.57x = 119,477.19
  5. Step 5: Solve for x
    x = 119,477.19/450.57
  6. Step 6: Final answer
    x = 265.17

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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.