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Finding the Fourth Proportional to 148.65, 205.16 and 86.50

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Solution

The fourth proportional to 148.65, 205.16 and 86.50 is: 119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.65 : 205.16 = 86.50 : x
  2. Step 2: Convert to fraction form
    148.65/205.16 = 86.50/x
  3. Step 3: Cross multiply
    148.65x = 205.16 × 86.50
  4. Step 4: Simplify right side
    148.65x = 17,746.34
  5. Step 5: Solve for x
    x = 17,746.34/148.65
  6. Step 6: Final answer
    x = 119.38

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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.