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Finding the Fourth Proportional to 346.94, 520.46 and 103.43

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Solution

The fourth proportional to 346.94, 520.46 and 103.43 is: 155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.94 : 520.46 = 103.43 : x
  2. Step 2: Convert to fraction form
    346.94/520.46 = 103.43/x
  3. Step 3: Cross multiply
    346.94x = 520.46 × 103.43
  4. Step 4: Simplify right side
    346.94x = 53,831.96
  5. Step 5: Solve for x
    x = 53,831.96/346.94
  6. Step 6: Final answer
    x = 155.16

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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.