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Finding the Fourth Proportional to 309.30, 463.53 and 114.11

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Solution

The fourth proportional to 309.30, 463.53 and 114.11 is: 171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.30 : 463.53 = 114.11 : x
  2. Step 2: Convert to fraction form
    309.30/463.53 = 114.11/x
  3. Step 3: Cross multiply
    309.30x = 463.53 × 114.11
  4. Step 4: Simplify right side
    309.30x = 52,893.41
  5. Step 5: Solve for x
    x = 52,893.41/309.30
  6. Step 6: Final answer
    x = 171.01

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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.