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Finding the Fourth Proportional to 189.77, 285.08 and 135.06

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Solution

The fourth proportional to 189.77, 285.08 and 135.06 is: 202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.77 : 285.08 = 135.06 : x
  2. Step 2: Convert to fraction form
    189.77/285.08 = 135.06/x
  3. Step 3: Cross multiply
    189.77x = 285.08 × 135.06
  4. Step 4: Simplify right side
    189.77x = 38,501.48
  5. Step 5: Solve for x
    x = 38,501.48/189.77
  6. Step 6: Final answer
    x = 202.89

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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.