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Finding the Fourth Proportional to 153.68, 211.84 and 135.32

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Solution

The fourth proportional to 153.68, 211.84 and 135.32 is: 186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.68 : 211.84 = 135.32 : x
  2. Step 2: Convert to fraction form
    153.68/211.84 = 135.32/x
  3. Step 3: Cross multiply
    153.68x = 211.84 × 135.32
  4. Step 4: Simplify right side
    153.68x = 28,666.19
  5. Step 5: Solve for x
    x = 28,666.19/153.68
  6. Step 6: Final answer
    x = 186.53

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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.