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Finding the Fourth Proportional to 342.76, 514.16 and 160.16

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Solution

The fourth proportional to 342.76, 514.16 and 160.16 is: 240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.76 : 514.16 = 160.16 : x
  2. Step 2: Convert to fraction form
    342.76/514.16 = 160.16/x
  3. Step 3: Cross multiply
    342.76x = 514.16 × 160.16
  4. Step 4: Simplify right side
    342.76x = 82,347.87
  5. Step 5: Solve for x
    x = 82,347.87/342.76
  6. Step 6: Final answer
    x = 240.25

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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.