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Finding the Fourth Proportional to 157.61, 235.87 and 135.05

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Solution

The fourth proportional to 157.61, 235.87 and 135.05 is: 202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.61 : 235.87 = 135.05 : x
  2. Step 2: Convert to fraction form
    157.61/235.87 = 135.05/x
  3. Step 3: Cross multiply
    157.61x = 235.87 × 135.05
  4. Step 4: Simplify right side
    157.61x = 31,852.73
  5. Step 5: Solve for x
    x = 31,852.73/157.61
  6. Step 6: Final answer
    x = 202.10

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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.