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Finding the Fourth Proportional to 310.35, 428.18 and 177.58

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Solution

The fourth proportional to 310.35, 428.18 and 177.58 is: 245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.35 : 428.18 = 177.58 : x
  2. Step 2: Convert to fraction form
    310.35/428.18 = 177.58/x
  3. Step 3: Cross multiply
    310.35x = 428.18 × 177.58
  4. Step 4: Simplify right side
    310.35x = 76,036.20
  5. Step 5: Solve for x
    x = 76,036.20/310.35
  6. Step 6: Final answer
    x = 245.00

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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.