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Finding the Fourth Proportional to 313, 469.86 and 142

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Solution

The fourth proportional to 313, 469.86 and 142 is: 213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313 : 469.86 = 142 : x
  2. Step 2: Convert to fraction form
    313/469.86 = 142/x
  3. Step 3: Cross multiply
    313x = 469.86 × 142
  4. Step 4: Simplify right side
    313x = 66,720.12
  5. Step 5: Solve for x
    x = 66,720.12/313
  6. Step 6: Final answer
    x = 213.16

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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.