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Finding the Fourth Proportional to 285.85, 429.14 and 148.99

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Solution

The fourth proportional to 285.85, 429.14 and 148.99 is: 223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.85 : 429.14 = 148.99 : x
  2. Step 2: Convert to fraction form
    285.85/429.14 = 148.99/x
  3. Step 3: Cross multiply
    285.85x = 429.14 × 148.99
  4. Step 4: Simplify right side
    285.85x = 63,934.68
  5. Step 5: Solve for x
    x = 63,934.68/285.85
  6. Step 6: Final answer
    x = 223.67

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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.