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Finding the Fourth Proportional to 313.60, 432.64 and 197.08

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Solution

The fourth proportional to 313.60, 432.64 and 197.08 is: 271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.60 : 432.64 = 197.08 : x
  2. Step 2: Convert to fraction form
    313.60/432.64 = 197.08/x
  3. Step 3: Cross multiply
    313.60x = 432.64 × 197.08
  4. Step 4: Simplify right side
    313.60x = 85,264.69
  5. Step 5: Solve for x
    x = 85,264.69/313.60
  6. Step 6: Final answer
    x = 271.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.