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Finding the Fourth Proportional to 152.14, 208.58 and 148.06

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Solution

The fourth proportional to 152.14, 208.58 and 148.06 is: 202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.14 : 208.58 = 148.06 : x
  2. Step 2: Convert to fraction form
    152.14/208.58 = 148.06/x
  3. Step 3: Cross multiply
    152.14x = 208.58 × 148.06
  4. Step 4: Simplify right side
    152.14x = 30,882.35
  5. Step 5: Solve for x
    x = 30,882.35/152.14
  6. Step 6: Final answer
    x = 202.99

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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.