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Finding the Fourth Proportional to 312.60, 469.07 and 141.60

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Solution

The fourth proportional to 312.60, 469.07 and 141.60 is: 212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.60 : 469.07 = 141.60 : x
  2. Step 2: Convert to fraction form
    312.60/469.07 = 141.60/x
  3. Step 3: Cross multiply
    312.60x = 469.07 × 141.60
  4. Step 4: Simplify right side
    312.60x = 66,417.97
  5. Step 5: Solve for x
    x = 66,417.97/312.60
  6. Step 6: Final answer
    x = 212.47

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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.