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Finding the Fourth Proportional to 253.53, 378.56 and 204.93

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Solution

The fourth proportional to 253.53, 378.56 and 204.93 is: 305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.53 : 378.56 = 204.93 : x
  2. Step 2: Convert to fraction form
    253.53/378.56 = 204.93/x
  3. Step 3: Cross multiply
    253.53x = 378.56 × 204.93
  4. Step 4: Simplify right side
    253.53x = 77,578.81
  5. Step 5: Solve for x
    x = 77,578.81/253.53
  6. Step 6: Final answer
    x = 305.99

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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.