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Finding the Fourth Proportional to 314.72, 434.24 and 190.32

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Solution

The fourth proportional to 314.72, 434.24 and 190.32 is: 262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.72 : 434.24 = 190.32 : x
  2. Step 2: Convert to fraction form
    314.72/434.24 = 190.32/x
  3. Step 3: Cross multiply
    314.72x = 434.24 × 190.32
  4. Step 4: Simplify right side
    314.72x = 82,643.61
  5. Step 5: Solve for x
    x = 82,643.61/314.72
  6. Step 6: Final answer
    x = 262.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.