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Finding the Fourth Proportional to 157.55, 234.34 and 153.70

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Solution

The fourth proportional to 157.55, 234.34 and 153.70 is: 228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.55 : 234.34 = 153.70 : x
  2. Step 2: Convert to fraction form
    157.55/234.34 = 153.70/x
  3. Step 3: Cross multiply
    157.55x = 234.34 × 153.70
  4. Step 4: Simplify right side
    157.55x = 36,017.95
  5. Step 5: Solve for x
    x = 36,017.95/157.55
  6. Step 6: Final answer
    x = 228.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.