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Finding the Fourth Proportional to 313.36, 469.90 and 176.23

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Solution

The fourth proportional to 313.36, 469.90 and 176.23 is: 264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.36 : 469.90 = 176.23 : x
  2. Step 2: Convert to fraction form
    313.36/469.90 = 176.23/x
  3. Step 3: Cross multiply
    313.36x = 469.90 × 176.23
  4. Step 4: Simplify right side
    313.36x = 82,810.48
  5. Step 5: Solve for x
    x = 82,810.48/313.36
  6. Step 6: Final answer
    x = 264.27

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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.