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Finding the Fourth Proportional to 317.05, 437.64 and 186.16

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Solution

The fourth proportional to 317.05, 437.64 and 186.16 is: 256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.05 : 437.64 = 186.16 : x
  2. Step 2: Convert to fraction form
    317.05/437.64 = 186.16/x
  3. Step 3: Cross multiply
    317.05x = 437.64 × 186.16
  4. Step 4: Simplify right side
    317.05x = 81,471.06
  5. Step 5: Solve for x
    x = 81,471.06/317.05
  6. Step 6: Final answer
    x = 256.97

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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.