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Finding the Fourth Proportional to 152.96, 211.30 and 136.50

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Solution

The fourth proportional to 152.96, 211.30 and 136.50 is: 188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 211.30 = 136.50 : x
  2. Step 2: Convert to fraction form
    152.96/211.30 = 136.50/x
  3. Step 3: Cross multiply
    152.96x = 211.30 × 136.50
  4. Step 4: Simplify right side
    152.96x = 28,842.45
  5. Step 5: Solve for x
    x = 28,842.45/152.96
  6. Step 6: Final answer
    x = 188.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.