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Finding the Fourth Proportional to 285.98, 429.00 and 155.93

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Solution

The fourth proportional to 285.98, 429.00 and 155.93 is: 233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.98 : 429.00 = 155.93 : x
  2. Step 2: Convert to fraction form
    285.98/429.00 = 155.93/x
  3. Step 3: Cross multiply
    285.98x = 429.00 × 155.93
  4. Step 4: Simplify right side
    285.98x = 66,891.24
  5. Step 5: Solve for x
    x = 66,891.24/285.98
  6. Step 6: Final answer
    x = 233.90

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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.