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Finding the Fourth Proportional to 370.32, 555.16 and 226.32

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Solution

The fourth proportional to 370.32, 555.16 and 226.32 is: 339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.32 : 555.16 = 226.32 : x
  2. Step 2: Convert to fraction form
    370.32/555.16 = 226.32/x
  3. Step 3: Cross multiply
    370.32x = 555.16 × 226.32
  4. Step 4: Simplify right side
    370.32x = 125,643.81
  5. Step 5: Solve for x
    x = 125,643.81/370.32
  6. Step 6: Final answer
    x = 339.28

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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.