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Finding the Fourth Proportional to 346.53, 519.71 and 103.00

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Solution

The fourth proportional to 346.53, 519.71 and 103.00 is: 154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.53 : 519.71 = 103.00 : x
  2. Step 2: Convert to fraction form
    346.53/519.71 = 103.00/x
  3. Step 3: Cross multiply
    346.53x = 519.71 × 103.00
  4. Step 4: Simplify right side
    346.53x = 53,527.02
  5. Step 5: Solve for x
    x = 53,527.02/346.53
  6. Step 6: Final answer
    x = 154.47

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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.