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Finding the Fourth Proportional to 317.16, 437.58 and 192.84

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Solution

The fourth proportional to 317.16, 437.58 and 192.84 is: 266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.16 : 437.58 = 192.84 : x
  2. Step 2: Convert to fraction form
    317.16/437.58 = 192.84/x
  3. Step 3: Cross multiply
    317.16x = 437.58 × 192.84
  4. Step 4: Simplify right side
    317.16x = 84,382.93
  5. Step 5: Solve for x
    x = 84,382.93/317.16
  6. Step 6: Final answer
    x = 266.06

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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.