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Finding the Fourth Proportional to 285.94, 394.67 and 175.51

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Solution

The fourth proportional to 285.94, 394.67 and 175.51 is: 242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.94 : 394.67 = 175.51 : x
  2. Step 2: Convert to fraction form
    285.94/394.67 = 175.51/x
  3. Step 3: Cross multiply
    285.94x = 394.67 × 175.51
  4. Step 4: Simplify right side
    285.94x = 69,268.53
  5. Step 5: Solve for x
    x = 69,268.53/285.94
  6. Step 6: Final answer
    x = 242.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.