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Finding the Fourth Proportional to 157.20, 216.54 and 146.76

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Solution

The fourth proportional to 157.20, 216.54 and 146.76 is: 202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.20 : 216.54 = 146.76 : x
  2. Step 2: Convert to fraction form
    157.20/216.54 = 146.76/x
  3. Step 3: Cross multiply
    157.20x = 216.54 × 146.76
  4. Step 4: Simplify right side
    157.20x = 31,779.41
  5. Step 5: Solve for x
    x = 31,779.41/157.20
  6. Step 6: Final answer
    x = 202.16

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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.