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Finding the Fourth Proportional to 340.53, 510.58 and 157.83

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Solution

The fourth proportional to 340.53, 510.58 and 157.83 is: 236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.53 : 510.58 = 157.83 : x
  2. Step 2: Convert to fraction form
    340.53/510.58 = 157.83/x
  3. Step 3: Cross multiply
    340.53x = 510.58 × 157.83
  4. Step 4: Simplify right side
    340.53x = 80,584.84
  5. Step 5: Solve for x
    x = 80,584.84/340.53
  6. Step 6: Final answer
    x = 236.65

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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.