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Finding the Fourth Proportional to 313.54, 469.58 and 176.30

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Solution

The fourth proportional to 313.54, 469.58 and 176.30 is: 264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.54 : 469.58 = 176.30 : x
  2. Step 2: Convert to fraction form
    313.54/469.58 = 176.30/x
  3. Step 3: Cross multiply
    313.54x = 469.58 × 176.30
  4. Step 4: Simplify right side
    313.54x = 82,786.95
  5. Step 5: Solve for x
    x = 82,786.95/313.54
  6. Step 6: Final answer
    x = 264.04

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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.