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Finding the Fourth Proportional to 342.65, 514.07 and 178.13

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Solution

The fourth proportional to 342.65, 514.07 and 178.13 is: 267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.65 : 514.07 = 178.13 : x
  2. Step 2: Convert to fraction form
    342.65/514.07 = 178.13/x
  3. Step 3: Cross multiply
    342.65x = 514.07 × 178.13
  4. Step 4: Simplify right side
    342.65x = 91,570.40
  5. Step 5: Solve for x
    x = 91,570.40/342.65
  6. Step 6: Final answer
    x = 267.24

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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.