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Finding the Fourth Proportional to 313.30, 470 and 118.29

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Solution

The fourth proportional to 313.30, 470 and 118.29 is: 177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.30 : 470 = 118.29 : x
  2. Step 2: Convert to fraction form
    313.30/470 = 118.29/x
  3. Step 3: Cross multiply
    313.30x = 470 × 118.29
  4. Step 4: Simplify right side
    313.30x = 55,596.30
  5. Step 5: Solve for x
    x = 55,596.30/313.30
  6. Step 6: Final answer
    x = 177.45

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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.