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Finding the Fourth Proportional to 285.02, 427.53 and 122.70

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Solution

The fourth proportional to 285.02, 427.53 and 122.70 is: 184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.02 : 427.53 = 122.70 : x
  2. Step 2: Convert to fraction form
    285.02/427.53 = 122.70/x
  3. Step 3: Cross multiply
    285.02x = 427.53 × 122.70
  4. Step 4: Simplify right side
    285.02x = 52,457.93
  5. Step 5: Solve for x
    x = 52,457.93/285.02
  6. Step 6: Final answer
    x = 184.05

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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.