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Finding the Fourth Proportional to 285.58, 428.05 and 123.06

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Solution

The fourth proportional to 285.58, 428.05 and 123.06 is: 184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.58 : 428.05 = 123.06 : x
  2. Step 2: Convert to fraction form
    285.58/428.05 = 123.06/x
  3. Step 3: Cross multiply
    285.58x = 428.05 × 123.06
  4. Step 4: Simplify right side
    285.58x = 52,675.83
  5. Step 5: Solve for x
    x = 52,675.83/285.58
  6. Step 6: Final answer
    x = 184.45

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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.