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Finding the Fourth Proportional to 225.16, 337.88 and 144.08

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Solution

The fourth proportional to 225.16, 337.88 and 144.08 is: 216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.16 : 337.88 = 144.08 : x
  2. Step 2: Convert to fraction form
    225.16/337.88 = 144.08/x
  3. Step 3: Cross multiply
    225.16x = 337.88 × 144.08
  4. Step 4: Simplify right side
    225.16x = 48,681.75
  5. Step 5: Solve for x
    x = 48,681.75/225.16
  6. Step 6: Final answer
    x = 216.21

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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.