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Finding the Fourth Proportional to 313.80, 471.13 and 176.93

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Solution

The fourth proportional to 313.80, 471.13 and 176.93 is: 265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.80 : 471.13 = 176.93 : x
  2. Step 2: Convert to fraction form
    313.80/471.13 = 176.93/x
  3. Step 3: Cross multiply
    313.80x = 471.13 × 176.93
  4. Step 4: Simplify right side
    313.80x = 83,357.03
  5. Step 5: Solve for x
    x = 83,357.03/313.80
  6. Step 6: Final answer
    x = 265.64

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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.