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Finding the Fourth Proportional to 309, 463.38 and 103.52

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Solution

The fourth proportional to 309, 463.38 and 103.52 is: 155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 463.38 = 103.52 : x
  2. Step 2: Convert to fraction form
    309/463.38 = 103.52/x
  3. Step 3: Cross multiply
    309x = 463.38 × 103.52
  4. Step 4: Simplify right side
    309x = 47,969.10
  5. Step 5: Solve for x
    x = 47,969.10/309
  6. Step 6: Final answer
    x = 155.24

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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.