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Finding the Fourth Proportional to 150.84, 206.65 and 145.30

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Solution

The fourth proportional to 150.84, 206.65 and 145.30 is: 199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.84 : 206.65 = 145.30 : x
  2. Step 2: Convert to fraction form
    150.84/206.65 = 145.30/x
  3. Step 3: Cross multiply
    150.84x = 206.65 × 145.30
  4. Step 4: Simplify right side
    150.84x = 30,026.25
  5. Step 5: Solve for x
    x = 30,026.25/150.84
  6. Step 6: Final answer
    x = 199.06

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