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Finding the Fourth Proportional to 350.98, 526.59 and 145.67

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Solution

The fourth proportional to 350.98, 526.59 and 145.67 is: 218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.98 : 526.59 = 145.67 : x
  2. Step 2: Convert to fraction form
    350.98/526.59 = 145.67/x
  3. Step 3: Cross multiply
    350.98x = 526.59 × 145.67
  4. Step 4: Simplify right side
    350.98x = 76,708.37
  5. Step 5: Solve for x
    x = 76,708.37/350.98
  6. Step 6: Final answer
    x = 218.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.