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Finding the Fourth Proportional to 148.18, 221.69 and 117.42

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Solution

The fourth proportional to 148.18, 221.69 and 117.42 is: 175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.18 : 221.69 = 117.42 : x
  2. Step 2: Convert to fraction form
    148.18/221.69 = 117.42/x
  3. Step 3: Cross multiply
    148.18x = 221.69 × 117.42
  4. Step 4: Simplify right side
    148.18x = 26,030.84
  5. Step 5: Solve for x
    x = 26,030.84/148.18
  6. Step 6: Final answer
    x = 175.67

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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.