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Finding the Fourth Proportional to 153.08, 210.98 and 136.70

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Solution

The fourth proportional to 153.08, 210.98 and 136.70 is: 188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.08 : 210.98 = 136.70 : x
  2. Step 2: Convert to fraction form
    153.08/210.98 = 136.70/x
  3. Step 3: Cross multiply
    153.08x = 210.98 × 136.70
  4. Step 4: Simplify right side
    153.08x = 28,840.97
  5. Step 5: Solve for x
    x = 28,840.97/153.08
  6. Step 6: Final answer
    x = 188.40

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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.