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Finding the Fourth Proportional to 154.04, 211.20 and 152.45

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Solution

The fourth proportional to 154.04, 211.20 and 152.45 is: 209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.04 : 211.20 = 152.45 : x
  2. Step 2: Convert to fraction form
    154.04/211.20 = 152.45/x
  3. Step 3: Cross multiply
    154.04x = 211.20 × 152.45
  4. Step 4: Simplify right side
    154.04x = 32,196.38
  5. Step 5: Solve for x
    x = 32,196.38/154.04
  6. Step 6: Final answer
    x = 209.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.