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Finding the Fourth Proportional to 152.62, 210.81 and 134.26

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Solution

The fourth proportional to 152.62, 210.81 and 134.26 is: 185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.62 : 210.81 = 134.26 : x
  2. Step 2: Convert to fraction form
    152.62/210.81 = 134.26/x
  3. Step 3: Cross multiply
    152.62x = 210.81 × 134.26
  4. Step 4: Simplify right side
    152.62x = 28,303.35
  5. Step 5: Solve for x
    x = 28,303.35/152.62
  6. Step 6: Final answer
    x = 185.45

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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.