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Finding the Fourth Proportional to 313.56, 468.36 and 245.16

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Solution

The fourth proportional to 313.56, 468.36 and 245.16 is: 366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.56 : 468.36 = 245.16 : x
  2. Step 2: Convert to fraction form
    313.56/468.36 = 245.16/x
  3. Step 3: Cross multiply
    313.56x = 468.36 × 245.16
  4. Step 4: Simplify right side
    313.56x = 114,823.14
  5. Step 5: Solve for x
    x = 114,823.14/313.56
  6. Step 6: Final answer
    x = 366.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.