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Finding the Fourth Proportional to 346.77, 520.25 and 103.32

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Solution

The fourth proportional to 346.77, 520.25 and 103.32 is: 155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.77 : 520.25 = 103.32 : x
  2. Step 2: Convert to fraction form
    346.77/520.25 = 103.32/x
  3. Step 3: Cross multiply
    346.77x = 520.25 × 103.32
  4. Step 4: Simplify right side
    346.77x = 53,751.71
  5. Step 5: Solve for x
    x = 53,751.71/346.77
  6. Step 6: Final answer
    x = 155.01

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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.