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Finding the Fourth Proportional to 157.19, 215.06 and 156.51

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Solution

The fourth proportional to 157.19, 215.06 and 156.51 is: 214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.19 : 215.06 = 156.51 : x
  2. Step 2: Convert to fraction form
    157.19/215.06 = 156.51/x
  3. Step 3: Cross multiply
    157.19x = 215.06 × 156.51
  4. Step 4: Simplify right side
    157.19x = 33,657.65
  5. Step 5: Solve for x
    x = 33,657.65/157.19
  6. Step 6: Final answer
    x = 214.12

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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.