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Finding the Fourth Proportional to 153.50, 210.29 and 145.31

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Solution

The fourth proportional to 153.50, 210.29 and 145.31 is: 199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.50 : 210.29 = 145.31 : x
  2. Step 2: Convert to fraction form
    153.50/210.29 = 145.31/x
  3. Step 3: Cross multiply
    153.50x = 210.29 × 145.31
  4. Step 4: Simplify right side
    153.50x = 30,555.46
  5. Step 5: Solve for x
    x = 30,555.46/153.50
  6. Step 6: Final answer
    x = 199.06

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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.