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Finding the Fourth Proportional to 310.64, 428.72 and 186.32

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Solution

The fourth proportional to 310.64, 428.72 and 186.32 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.64 : 428.72 = 186.32 : x
  2. Step 2: Convert to fraction form
    310.64/428.72 = 186.32/x
  3. Step 3: Cross multiply
    310.64x = 428.72 × 186.32
  4. Step 4: Simplify right side
    310.64x = 79,879.11
  5. Step 5: Solve for x
    x = 79,879.11/310.64
  6. Step 6: Final answer
    x = 257.14

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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.