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Finding the Fourth Proportional to 313.40, 469.71 and 176.54

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Solution

The fourth proportional to 313.40, 469.71 and 176.54 is: 264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.40 : 469.71 = 176.54 : x
  2. Step 2: Convert to fraction form
    313.40/469.71 = 176.54/x
  3. Step 3: Cross multiply
    313.40x = 469.71 × 176.54
  4. Step 4: Simplify right side
    313.40x = 82,922.60
  5. Step 5: Solve for x
    x = 82,922.60/313.40
  6. Step 6: Final answer
    x = 264.59

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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.