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Finding the Fourth Proportional to 187.02, 279.99 and 160.02

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Solution

The fourth proportional to 187.02, 279.99 and 160.02 is: 239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.02 : 279.99 = 160.02 : x
  2. Step 2: Convert to fraction form
    187.02/279.99 = 160.02/x
  3. Step 3: Cross multiply
    187.02x = 279.99 × 160.02
  4. Step 4: Simplify right side
    187.02x = 44,804.00
  5. Step 5: Solve for x
    x = 44,804.00/187.02
  6. Step 6: Final answer
    x = 239.57

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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.