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Finding the Fourth Proportional to 225.14, 310.47 and 155.21

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Solution

The fourth proportional to 225.14, 310.47 and 155.21 is: 214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.14 : 310.47 = 155.21 : x
  2. Step 2: Convert to fraction form
    225.14/310.47 = 155.21/x
  3. Step 3: Cross multiply
    225.14x = 310.47 × 155.21
  4. Step 4: Simplify right side
    225.14x = 48,186.50
  5. Step 5: Solve for x
    x = 48,186.50/225.14
  6. Step 6: Final answer
    x = 214.03

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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.