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Finding the Fourth Proportional to 309.98, 464.58 and 136.58

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Solution

The fourth proportional to 309.98, 464.58 and 136.58 is: 204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.98 : 464.58 = 136.58 : x
  2. Step 2: Convert to fraction form
    309.98/464.58 = 136.58/x
  3. Step 3: Cross multiply
    309.98x = 464.58 × 136.58
  4. Step 4: Simplify right side
    309.98x = 63,452.34
  5. Step 5: Solve for x
    x = 63,452.34/309.98
  6. Step 6: Final answer
    x = 204.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.