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Finding the Fourth Proportional to 157.84, 216.65 and 151.16

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Solution

The fourth proportional to 157.84, 216.65 and 151.16 is: 207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.84 : 216.65 = 151.16 : x
  2. Step 2: Convert to fraction form
    157.84/216.65 = 151.16/x
  3. Step 3: Cross multiply
    157.84x = 216.65 × 151.16
  4. Step 4: Simplify right side
    157.84x = 32,748.81
  5. Step 5: Solve for x
    x = 32,748.81/157.84
  6. Step 6: Final answer
    x = 207.48

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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.