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Finding the Fourth Proportional to 313.02, 431.74 and 188.64

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Solution

The fourth proportional to 313.02, 431.74 and 188.64 is: 260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.02 : 431.74 = 188.64 : x
  2. Step 2: Convert to fraction form
    313.02/431.74 = 188.64/x
  3. Step 3: Cross multiply
    313.02x = 431.74 × 188.64
  4. Step 4: Simplify right side
    313.02x = 81,443.43
  5. Step 5: Solve for x
    x = 81,443.43/313.02
  6. Step 6: Final answer
    x = 260.19

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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.