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Finding the Fourth Proportional to 310.40, 428.32 and 186.00

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Solution

The fourth proportional to 310.40, 428.32 and 186.00 is: 256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.40 : 428.32 = 186.00 : x
  2. Step 2: Convert to fraction form
    310.40/428.32 = 186.00/x
  3. Step 3: Cross multiply
    310.40x = 428.32 × 186.00
  4. Step 4: Simplify right side
    310.40x = 79,666.15
  5. Step 5: Solve for x
    x = 79,666.15/310.40
  6. Step 6: Final answer
    x = 256.66

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