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Finding the Fourth Proportional to 285.46, 427.72 and 175.64

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Solution

The fourth proportional to 285.46, 427.72 and 175.64 is: 263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.46 : 427.72 = 175.64 : x
  2. Step 2: Convert to fraction form
    285.46/427.72 = 175.64/x
  3. Step 3: Cross multiply
    285.46x = 427.72 × 175.64
  4. Step 4: Simplify right side
    285.46x = 75,124.74
  5. Step 5: Solve for x
    x = 75,124.74/285.46
  6. Step 6: Final answer
    x = 263.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.