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Finding the Fourth Proportional to 465.10, 697.29 and 156.76

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Solution

The fourth proportional to 465.10, 697.29 and 156.76 is: 235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.10 : 697.29 = 156.76 : x
  2. Step 2: Convert to fraction form
    465.10/697.29 = 156.76/x
  3. Step 3: Cross multiply
    465.10x = 697.29 × 156.76
  4. Step 4: Simplify right side
    465.10x = 109,307.18
  5. Step 5: Solve for x
    x = 109,307.18/465.10
  6. Step 6: Final answer
    x = 235.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.