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Finding the Fourth Proportional to 259.05, 357.50 and 148.53

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Solution

The fourth proportional to 259.05, 357.50 and 148.53 is: 204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.05 : 357.50 = 148.53 : x
  2. Step 2: Convert to fraction form
    259.05/357.50 = 148.53/x
  3. Step 3: Cross multiply
    259.05x = 357.50 × 148.53
  4. Step 4: Simplify right side
    259.05x = 53,099.48
  5. Step 5: Solve for x
    x = 53,099.48/259.05
  6. Step 6: Final answer
    x = 204.98

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Why These Related Problems?

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