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Finding the Fourth Proportional to 285.83, 394.52 and 175.35

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Solution

The fourth proportional to 285.83, 394.52 and 175.35 is: 242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.83 : 394.52 = 175.35 : x
  2. Step 2: Convert to fraction form
    285.83/394.52 = 175.35/x
  3. Step 3: Cross multiply
    285.83x = 394.52 × 175.35
  4. Step 4: Simplify right side
    285.83x = 69,176.23
  5. Step 5: Solve for x
    x = 69,176.23/285.83
  6. Step 6: Final answer
    x = 242.02

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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.