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Finding the Fourth Proportional to 465.15, 697.71 and 157.01

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Solution

The fourth proportional to 465.15, 697.71 and 157.01 is: 235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.15 : 697.71 = 157.01 : x
  2. Step 2: Convert to fraction form
    465.15/697.71 = 157.01/x
  3. Step 3: Cross multiply
    465.15x = 697.71 × 157.01
  4. Step 4: Simplify right side
    465.15x = 109,547.45
  5. Step 5: Solve for x
    x = 109,547.45/465.15
  6. Step 6: Final answer
    x = 235.51

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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.