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Finding the Fourth Proportional to 150.32, 207.54 and 117.52

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Solution

The fourth proportional to 150.32, 207.54 and 117.52 is: 162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.32 : 207.54 = 117.52 : x
  2. Step 2: Convert to fraction form
    150.32/207.54 = 117.52/x
  3. Step 3: Cross multiply
    150.32x = 207.54 × 117.52
  4. Step 4: Simplify right side
    150.32x = 24,390.10
  5. Step 5: Solve for x
    x = 24,390.10/150.32
  6. Step 6: Final answer
    x = 162.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.