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Finding the Fourth Proportional to 342.64, 513.84 and 150.16

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Solution

The fourth proportional to 342.64, 513.84 and 150.16 is: 225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.64 : 513.84 = 150.16 : x
  2. Step 2: Convert to fraction form
    342.64/513.84 = 150.16/x
  3. Step 3: Cross multiply
    342.64x = 513.84 × 150.16
  4. Step 4: Simplify right side
    342.64x = 77,158.21
  5. Step 5: Solve for x
    x = 77,158.21/342.64
  6. Step 6: Final answer
    x = 225.19

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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.