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Finding the Fourth Proportional to 172.16, 258.96 and 148.40

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Solution

The fourth proportional to 172.16, 258.96 and 148.40 is: 223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.16 : 258.96 = 148.40 : x
  2. Step 2: Convert to fraction form
    172.16/258.96 = 148.40/x
  3. Step 3: Cross multiply
    172.16x = 258.96 × 148.40
  4. Step 4: Simplify right side
    172.16x = 38,429.66
  5. Step 5: Solve for x
    x = 38,429.66/172.16
  6. Step 6: Final answer
    x = 223.22

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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.