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Finding the Fourth Proportional to 313.38, 469.50 and 197.58

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Solution

The fourth proportional to 313.38, 469.50 and 197.58 is: 296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.38 : 469.50 = 197.58 : x
  2. Step 2: Convert to fraction form
    313.38/469.50 = 197.58/x
  3. Step 3: Cross multiply
    313.38x = 469.50 × 197.58
  4. Step 4: Simplify right side
    313.38x = 92,763.81
  5. Step 5: Solve for x
    x = 92,763.81/313.38
  6. Step 6: Final answer
    x = 296.01

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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.